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Finding the Third Proportional to 6,283,845 and 13,687,398

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Solution

The third proportional to 6,283,845 and 13,687,398 is: 29,813,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,845 : 13,687,398 = 13,687,398 : x
  2. Step 2: Convert to fraction form
    6,283,845/13,687,398 = 13,687,398/x
  3. Step 3: Cross multiply
    6,283,845x = 13,687,398 × 13,687,398
  4. Step 4: Simplify right side
    6,283,845x = 187,344,864,010,404
  5. Step 5: Solve for x
    x = 187,344,864,010,404/6,283,845
  6. Step 6: Final answer
    x = 29,813,730.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.