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Finding the Third Proportional to 641,613,186 and 1,375,310,815

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Solution

The third proportional to 641,613,186 and 1,375,310,815 is: 2,948,006,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,613,186 : 1,375,310,815 = 1,375,310,815 : x
  2. Step 2: Convert to fraction form
    641,613,186/1,375,310,815 = 1,375,310,815/x
  3. Step 3: Cross multiply
    641,613,186x = 1,375,310,815 × 1,375,310,815
  4. Step 4: Simplify right side
    641,613,186x = 1,891,479,837,855,964,160
  5. Step 5: Solve for x
    x = 1,891,479,837,855,964,160/641,613,186
  6. Step 6: Final answer
    x = 2,948,006,492.27

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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.