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Finding the Third Proportional to 641,613,182 and 1,375,310,807

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Solution

The third proportional to 641,613,182 and 1,375,310,807 is: 2,948,006,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,613,182 : 1,375,310,807 = 1,375,310,807 : x
  2. Step 2: Convert to fraction form
    641,613,182/1,375,310,807 = 1,375,310,807/x
  3. Step 3: Cross multiply
    641,613,182x = 1,375,310,807 × 1,375,310,807
  4. Step 4: Simplify right side
    641,613,182x = 1,891,479,815,850,991,360
  5. Step 5: Solve for x
    x = 1,891,479,815,850,991,360/641,613,182
  6. Step 6: Final answer
    x = 2,948,006,476.36

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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.