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Finding the Third Proportional to 31,431,446 and 47,264,151

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Solution

The third proportional to 31,431,446 and 47,264,151 is: 71,072,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431,446 : 47,264,151 = 47,264,151 : x
  2. Step 2: Convert to fraction form
    31,431,446/47,264,151 = 47,264,151/x
  3. Step 3: Cross multiply
    31,431,446x = 47,264,151 × 47,264,151
  4. Step 4: Simplify right side
    31,431,446x = 2,233,899,969,750,801
  5. Step 5: Solve for x
    x = 2,233,899,969,750,801/31,431,446
  6. Step 6: Final answer
    x = 71,072,134.89

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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.