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Finding the Third Proportional to 21,700,734 and 29,552,697

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Solution

The third proportional to 21,700,734 and 29,552,697 is: 40,245,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700,734 : 29,552,697 = 29,552,697 : x
  2. Step 2: Convert to fraction form
    21,700,734/29,552,697 = 29,552,697/x
  3. Step 3: Cross multiply
    21,700,734x = 29,552,697 × 29,552,697
  4. Step 4: Simplify right side
    21,700,734x = 873,361,899,973,809
  5. Step 5: Solve for x
    x = 873,361,899,973,809/21,700,734
  6. Step 6: Final answer
    x = 40,245,730.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.