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Interest over a long period of years?

I just had a thought (and think this is in the right section :p)

With interest rates (that apply to savings) it would be possible to double if not triple your investment over a large period of years if you were paying in a fixed amount each month.

My question, is this a viable way of saving for a long period of time (20 years plus) providing a constant investment in the account and assuring i went for the best interest rate available or is it worth considering something else?

(I was reading up about the scale of amazing that compound interest is :D)

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