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Finding the Third Proportional to 15,627,142 and 32,451,980

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Solution

The third proportional to 15,627,142 and 32,451,980 is: 67,391,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,627,142 : 32,451,980 = 32,451,980 : x
  2. Step 2: Convert to fraction form
    15,627,142/32,451,980 = 32,451,980/x
  3. Step 3: Cross multiply
    15,627,142x = 32,451,980 × 32,451,980
  4. Step 4: Simplify right side
    15,627,142x = 1,053,131,005,920,400
  5. Step 5: Solve for x
    x = 1,053,131,005,920,400/15,627,142
  6. Step 6: Final answer
    x = 67,391,145.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.