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Finding the Third Proportional to 641,613,159 and 1,375,310,763

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Solution

The third proportional to 641,613,159 and 1,375,310,763 is: 2,948,006,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,613,159 : 1,375,310,763 = 1,375,310,763 : x
  2. Step 2: Convert to fraction form
    641,613,159/1,375,310,763 = 1,375,310,763/x
  3. Step 3: Cross multiply
    641,613,159x = 1,375,310,763 × 1,375,310,763
  4. Step 4: Simplify right side
    641,613,159x = 1,891,479,694,823,642,112
  5. Step 5: Solve for x
    x = 1,891,479,694,823,642,112/641,613,159
  6. Step 6: Final answer
    x = 2,948,006,393.40

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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.