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Finding the Third Proportional to 37,838,765.25 and 82,744,092

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Solution

The third proportional to 37,838,765.25 and 82,744,092 is: 180,941,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838,765.25 : 82,744,092 = 82,744,092 : x
  2. Step 2: Convert to fraction form
    37,838,765.25/82,744,092 = 82,744,092/x
  3. Step 3: Cross multiply
    37,838,765.25x = 82,744,092 × 82,744,092
  4. Step 4: Simplify right side
    37,838,765.25x = 6,846,584,760,904,464
  5. Step 5: Solve for x
    x = 6,846,584,760,904,464/37,838,765.25
  6. Step 6: Final answer
    x = 180,941,019.50

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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.