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Finding the Third Proportional to 20,157,272 and 31,024,864

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Solution

The third proportional to 20,157,272 and 31,024,864 is: 47,751,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157,272 : 31,024,864 = 31,024,864 : x
  2. Step 2: Convert to fraction form
    20,157,272/31,024,864 = 31,024,864/x
  3. Step 3: Cross multiply
    20,157,272x = 31,024,864 × 31,024,864
  4. Step 4: Simplify right side
    20,157,272x = 962,542,186,218,496
  5. Step 5: Solve for x
    x = 962,542,186,218,496/20,157,272
  6. Step 6: Final answer
    x = 47,751,609.75

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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.