We record one number every workday: Monday, Tuesday, Wednesday, Thursday, and Friday.  On the first Monday the number we record is ten and a half.  On every Tuesday and every Thursday the number we record is one third of what it was on the previous workday.  On every Monday, Wednesday, and Friday the number we record is double what it was on the previous workday.  This will go on forever. What is the sum of all of the numbers we will record?

Let's think step by step and output the final answer within \boxed{}.
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