New to trading...

If I've managed to double my money in a practice account, would it be realistic to trade with real money?

Depends on:

How long demoing?
How many trades?
Are you confident with your method?
Were you using sensible MM while doubling your account?

The list could go on and on. Point is, doubling an account is much easier than making a reasonable consistent profit month after month. Tell us more about how you've been trading and you'll get loads of replies.

Well Ive been trading for a few weeks now and I'm that new that I dont have a clue what MM is, and to be honest I've been using my own intuition and gut feelings, along with news events, TV, internet and any information source that I can find that is related to the foreign exchange market to make my decisions.

I made most of it on the EUR/USD Pair

MM is money management. You need to learn how much risk you should take per trade. If you risk too much, a short string of losing trades (trust me, everyone has them) will wipe you out.
You can learn about money management and position sizing in the stickys at the top of this beginners forum.
I'd recommend doing the free Forex course at babypips.com and reading all you can here.
Then approach your demo using the correct position size. You should make your money management a matter of habit before you trade live. When you do decide to go live, go slowly. Don't use all your ammo on your first attempt at a live account.

HI

Start with a micro mini account, bet dimes, nickles and pennies.
Write down the amount of money you are willing to lose.
keep records of all trades

It's ALWAYS Realistic to Trade with Real Money.
The Question should be...
"Would it be Prudent.?"

You are at the Rope Bridge above a 100 Meter gorge. Ask Yourself the Similar Question and go with your answer.

Remember that Your Answer may include things like...

"Place a Safety Net 10 Meters Below Me..."

As was mentioned, go from a demo account to a nano-account (trading pennies) and then put in your big money.

Depends on if you can overcome the psychological effects real money will have on you once you start. If you trust your strategy and can be disciplined to manage your risk. You might be able to. Good luck!