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Finding the Third Proportional to 2,947,344,684 and 6,391,981,464

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Solution

The third proportional to 2,947,344,684 and 6,391,981,464 is: 13,862,452,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,344,684 : 6,391,981,464 = 6,391,981,464 : x
  2. Step 2: Convert to fraction form
    2,947,344,684/6,391,981,464 = 6,391,981,464/x
  3. Step 3: Cross multiply
    2,947,344,684x = 6,391,981,464 × 6,391,981,464
  4. Step 4: Simplify right side
    2,947,344,684x = 40,857,427,036,119,580,672
  5. Step 5: Solve for x
    x = 40,857,427,036,119,580,672/2,947,344,684
  6. Step 6: Final answer
    x = 13,862,452,959.07

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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.