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7.2 years, or 86 months

Learn the Rule of 72.

8 x 9 = 72. 8% interest doubles in 9 years.
3 x 24 = 72. 3% interest doubles in 24 years.
24 x 3 = 72. 24% interest doubles in 3 years.

10 x 7.2 = 72. 10% interest doubles in 7.2 years.

The interesting (!) thing about the “Rule of 7.2 is that it works both ways. Money invested at l0% doubles in 7.2 years. Money invested at 7.2% doubles in 10 years.