If you invest $$13,276\mathrm{.}21$ and want to receive $$82,006\mathrm{.}97$ at the end of $31$ years, at what APR must you invest?

Enter your answer as percentage with two decimal places but without the percent symbol. For example, if your answer is $90\mathrm{.}1234\%,$ enter $90\mathrm{.}12$