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Finding the Third Proportional to 31,670,996 and 48,960,897

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Solution

The third proportional to 31,670,996 and 48,960,897 is: 75,689,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670,996 : 48,960,897 = 48,960,897 : x
  2. Step 2: Convert to fraction form
    31,670,996/48,960,897 = 48,960,897/x
  3. Step 3: Cross multiply
    31,670,996x = 48,960,897 × 48,960,897
  4. Step 4: Simplify right side
    31,670,996x = 2,397,169,435,044,609
  5. Step 5: Solve for x
    x = 2,397,169,435,044,609/31,670,996
  6. Step 6: Final answer
    x = 75,689,739.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.