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Finding the Third Proportional to 13,778,834 and 29,663,524

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Solution

The third proportional to 13,778,834 and 29,663,524 is: 63,860,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778,834 : 29,663,524 = 29,663,524 : x
  2. Step 2: Convert to fraction form
    13,778,834/29,663,524 = 29,663,524/x
  3. Step 3: Cross multiply
    13,778,834x = 29,663,524 × 29,663,524
  4. Step 4: Simplify right side
    13,778,834x = 879,924,656,098,576
  5. Step 5: Solve for x
    x = 879,924,656,098,576/13,778,834
  6. Step 6: Final answer
    x = 63,860,603.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.