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Finding the Third Proportional to 31,642,560 and 47,548,089

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Solution

The third proportional to 31,642,560 and 47,548,089 is: 71,448,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642,560 : 47,548,089 = 47,548,089 : x
  2. Step 2: Convert to fraction form
    31,642,560/47,548,089 = 47,548,089/x
  3. Step 3: Cross multiply
    31,642,560x = 47,548,089 × 47,548,089
  4. Step 4: Simplify right side
    31,642,560x = 2,260,820,767,551,921
  5. Step 5: Solve for x
    x = 2,260,820,767,551,921/31,642,560
  6. Step 6: Final answer
    x = 71,448,731.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.