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Finding the Third Proportional to 641,613,162 and 1,375,310,769

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Solution

The third proportional to 641,613,162 and 1,375,310,769 is: 2,948,006,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,613,162 : 1,375,310,769 = 1,375,310,769 : x
  2. Step 2: Convert to fraction form
    641,613,162/1,375,310,769 = 1,375,310,769/x
  3. Step 3: Cross multiply
    641,613,162x = 1,375,310,769 × 1,375,310,769
  4. Step 4: Simplify right side
    641,613,162x = 1,891,479,711,327,371,264
  5. Step 5: Solve for x
    x = 1,891,479,711,327,371,264/641,613,162
  6. Step 6: Final answer
    x = 2,948,006,405.34

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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.