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Finding the Third Proportional to 27,687,072 and 42,981,724

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Solution

The third proportional to 27,687,072 and 42,981,724 is: 66,725,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687,072 : 42,981,724 = 42,981,724 : x
  2. Step 2: Convert to fraction form
    27,687,072/42,981,724 = 42,981,724/x
  3. Step 3: Cross multiply
    27,687,072x = 42,981,724 × 42,981,724
  4. Step 4: Simplify right side
    27,687,072x = 1,847,428,598,012,176
  5. Step 5: Solve for x
    x = 1,847,428,598,012,176/27,687,072
  6. Step 6: Final answer
    x = 66,725,314.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.