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Finding the Third Proportional to 37,427,854.78 and 81,900,073.27

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Solution

The third proportional to 37,427,854.78 and 81,900,073.27 is: 179,214,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,427,854.78 : 81,900,073.27 = 81,900,073.27 : x
  2. Step 2: Convert to fraction form
    37,427,854.78/81,900,073.27 = 81,900,073.27/x
  3. Step 3: Cross multiply
    37,427,854.78x = 81,900,073.27 × 81,900,073.27
  4. Step 4: Simplify right side
    37,427,854.78x = 6,707,622,000,914,743
  5. Step 5: Solve for x
    x = 6,707,622,000,914,743/37,427,854.78
  6. Step 6: Final answer
    x = 179,214,706.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.