The Heavens Gate Group have $$48$ million in cash. In order to reach the comet that will take them to a new world they need the $$48$ million to grow to $$119$ million. How many years will it take before the group can leave if they earn $9\mathrm{.}6\%$ per annum on their stash of cash? Assume annual compounding. $($Enter your answer in years to $2$ decimal places, e$.$g$.,12\mathrm{.}34)$

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