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Finding the Third Proportional to 641,613,161.25 and 1,375,310,767.50

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Solution

The third proportional to 641,613,161.25 and 1,375,310,767.50 is: 2,948,006,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,613,161.25 : 1,375,310,767.50 = 1,375,310,767.50 : x
  2. Step 2: Convert to fraction form
    641,613,161.25/1,375,310,767.50 = 1,375,310,767.50/x
  3. Step 3: Cross multiply
    641,613,161.25x = 1,375,310,767.50 × 1,375,310,767.50
  4. Step 4: Simplify right side
    641,613,161.25x = 1,891,479,707,201,438,976
  5. Step 5: Solve for x
    x = 1,891,479,707,201,438,976/641,613,161.25
  6. Step 6: Final answer
    x = 2,948,006,402.36

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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.