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Finding the Third Proportional to 37,170,069 and 79,720,839

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Solution

The third proportional to 37,170,069 and 79,720,839 is: 170,981,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,170,069 : 79,720,839 = 79,720,839 : x
  2. Step 2: Convert to fraction form
    37,170,069/79,720,839 = 79,720,839/x
  3. Step 3: Cross multiply
    37,170,069x = 79,720,839 × 79,720,839
  4. Step 4: Simplify right side
    37,170,069x = 6,355,412,170,863,921
  5. Step 5: Solve for x
    x = 6,355,412,170,863,921/37,170,069
  6. Step 6: Final answer
    x = 170,981,984.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.