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Finding the Third Proportional to 27,386,882 and 42,384,016

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Solution

The third proportional to 27,386,882 and 42,384,016 is: 65,593,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,386,882 : 42,384,016 = 42,384,016 : x
  2. Step 2: Convert to fraction form
    27,386,882/42,384,016 = 42,384,016/x
  3. Step 3: Cross multiply
    27,386,882x = 42,384,016 × 42,384,016
  4. Step 4: Simplify right side
    27,386,882x = 1,796,404,812,288,256
  5. Step 5: Solve for x
    x = 1,796,404,812,288,256/27,386,882
  6. Step 6: Final answer
    x = 65,593,622.97

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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.