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Finding the Third Proportional to 38,324,019 and 81,665,016

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Solution

The third proportional to 38,324,019 and 81,665,016 is: 174,020,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324,019 : 81,665,016 = 81,665,016 : x
  2. Step 2: Convert to fraction form
    38,324,019/81,665,016 = 81,665,016/x
  3. Step 3: Cross multiply
    38,324,019x = 81,665,016 × 81,665,016
  4. Step 4: Simplify right side
    38,324,019x = 6,669,174,838,280,256
  5. Step 5: Solve for x
    x = 6,669,174,838,280,256/38,324,019
  6. Step 6: Final answer
    x = 174,020,758.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.