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Finding the Third Proportional to 39,496,682 and 52,407,867

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Solution

The third proportional to 39,496,682 and 52,407,867 is: 69,539,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,496,682 : 52,407,867 = 52,407,867 : x
  2. Step 2: Convert to fraction form
    39,496,682/52,407,867 = 52,407,867/x
  3. Step 3: Cross multiply
    39,496,682x = 52,407,867 × 52,407,867
  4. Step 4: Simplify right side
    39,496,682x = 2,746,584,523,489,689
  5. Step 5: Solve for x
    x = 2,746,584,523,489,689/39,496,682
  6. Step 6: Final answer
    x = 69,539,626.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.