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Finding the Third Proportional to 33,175,123,702 and 73,112,394,063

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Solution

The third proportional to 33,175,123,702 and 73,112,394,063 is: 161,127,422,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175,123,702 : 73,112,394,063 = 73,112,394,063 : x
  2. Step 2: Convert to fraction form
    33,175,123,702/73,112,394,063 = 73,112,394,063/x
  3. Step 3: Cross multiply
    33,175,123,702x = 73,112,394,063 × 73,112,394,063
  4. Step 4: Simplify right side
    33,175,123,702x = 5,345,422,165,623,397,416,960
  5. Step 5: Solve for x
    x = 5,345,422,165,623,397,416,960/33,175,123,702
  6. Step 6: Final answer
    x = 161,127,422,270.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.