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Finding the Third Proportional to 37,760,917.69 and 81,332,164.31

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Solution

The third proportional to 37,760,917.69 and 81,332,164.31 is: 175,179,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,760,917.69 : 81,332,164.31 = 81,332,164.31 : x
  2. Step 2: Convert to fraction form
    37,760,917.69/81,332,164.31 = 81,332,164.31/x
  3. Step 3: Cross multiply
    37,760,917.69x = 81,332,164.31 × 81,332,164.31
  4. Step 4: Simplify right side
    37,760,917.69x = 6,614,920,951,755,499
  5. Step 5: Solve for x
    x = 6,614,920,951,755,499/37,760,917.69
  6. Step 6: Final answer
    x = 175,179,030.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.