Find the sum of the digits in the answer to  
  
$\underbrace{9999\cdots 99}_{94\mathrm{ nines}} \times \underbrace{4444\cdots 44}_{94\mathrm{ fours}}$  
  
where a string of $94$ nines is multiplied by a string of $94$ fours. What is the sum of the digits in the result?

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