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Finding the Third Proportional to 39,800,605 and 83,613,626

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Solution

The third proportional to 39,800,605 and 83,613,626 is: 175,656,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,800,605 : 83,613,626 = 83,613,626 : x
  2. Step 2: Convert to fraction form
    39,800,605/83,613,626 = 83,613,626/x
  3. Step 3: Cross multiply
    39,800,605x = 83,613,626 × 83,613,626
  4. Step 4: Simplify right side
    39,800,605x = 6,991,238,452,867,876
  5. Step 5: Solve for x
    x = 6,991,238,452,867,876/39,800,605
  6. Step 6: Final answer
    x = 175,656,587.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.