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Finding the Third Proportional to 37,427,872.50 and 81,900,109.13

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Solution

The third proportional to 37,427,872.50 and 81,900,109.13 is: 179,214,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,427,872.50 : 81,900,109.13 = 81,900,109.13 : x
  2. Step 2: Convert to fraction form
    37,427,872.50/81,900,109.13 = 81,900,109.13/x
  3. Step 3: Cross multiply
    37,427,872.50x = 81,900,109.13 × 81,900,109.13
  4. Step 4: Simplify right side
    37,427,872.50x = 6,707,627,874,686,908
  5. Step 5: Solve for x
    x = 6,707,627,874,686,908/37,427,872.50
  6. Step 6: Final answer
    x = 179,214,778.36

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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.