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Finding the Third Proportional to 37,932,223.50 and 82,241,691.75

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Solution

The third proportional to 37,932,223.50 and 82,241,691.75 is: 178,310,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,932,223.50 : 82,241,691.75 = 82,241,691.75 : x
  2. Step 2: Convert to fraction form
    37,932,223.50/82,241,691.75 = 82,241,691.75/x
  3. Step 3: Cross multiply
    37,932,223.50x = 82,241,691.75 × 82,241,691.75
  4. Step 4: Simplify right side
    37,932,223.50x = 6,763,695,861,902,018
  5. Step 5: Solve for x
    x = 6,763,695,861,902,018/37,932,223.50
  6. Step 6: Final answer
    x = 178,310,028.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.