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Finding the Third Proportional to 31,944,263 and 52,156,583

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Solution

The third proportional to 31,944,263 and 52,156,583 is: 85,157,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,944,263 : 52,156,583 = 52,156,583 : x
  2. Step 2: Convert to fraction form
    31,944,263/52,156,583 = 52,156,583/x
  3. Step 3: Cross multiply
    31,944,263x = 52,156,583 × 52,156,583
  4. Step 4: Simplify right side
    31,944,263x = 2,720,309,150,235,889
  5. Step 5: Solve for x
    x = 2,720,309,150,235,889/31,944,263
  6. Step 6: Final answer
    x = 85,157,987.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.