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Finding the Third Proportional to 2,479,468,646 and 5,394,766,408

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Solution

The third proportional to 2,479,468,646 and 5,394,766,408 is: 11,737,799,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479,468,646 : 5,394,766,408 = 5,394,766,408 : x
  2. Step 2: Convert to fraction form
    2,479,468,646/5,394,766,408 = 5,394,766,408/x
  3. Step 3: Cross multiply
    2,479,468,646x = 5,394,766,408 × 5,394,766,408
  4. Step 4: Simplify right side
    2,479,468,646x = 29,103,504,596,885,221,376
  5. Step 5: Solve for x
    x = 29,103,504,596,885,221,376/2,479,468,646
  6. Step 6: Final answer
    x = 11,737,799,001.35

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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.