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Finding the Third Proportional to 37,760,920.78 and 81,332,170.03

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Solution

The third proportional to 37,760,920.78 and 81,332,170.03 is: 175,179,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,760,920.78 : 81,332,170.03 = 81,332,170.03 : x
  2. Step 2: Convert to fraction form
    37,760,920.78/81,332,170.03 = 81,332,170.03/x
  3. Step 3: Cross multiply
    37,760,920.78x = 81,332,170.03 × 81,332,170.03
  4. Step 4: Simplify right side
    37,760,920.78x = 6,614,921,881,992,161
  5. Step 5: Solve for x
    x = 6,614,921,881,992,161/37,760,920.78
  6. Step 6: Final answer
    x = 175,179,040.79

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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.