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Finding the Third Proportional to 20,157,214.50 and 31,024,782

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Solution

The third proportional to 20,157,214.50 and 31,024,782 is: 47,751,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157,214.50 : 31,024,782 = 31,024,782 : x
  2. Step 2: Convert to fraction form
    20,157,214.50/31,024,782 = 31,024,782/x
  3. Step 3: Cross multiply
    20,157,214.50x = 31,024,782 × 31,024,782
  4. Step 4: Simplify right side
    20,157,214.50x = 962,537,098,147,524
  5. Step 5: Solve for x
    x = 962,537,098,147,524/20,157,214.50
  6. Step 6: Final answer
    x = 47,751,493.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.