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Finding the Third Proportional to 641,613,184 and 1,375,310,811

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Solution

The third proportional to 641,613,184 and 1,375,310,811 is: 2,948,006,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,613,184 : 1,375,310,811 = 1,375,310,811 : x
  2. Step 2: Convert to fraction form
    641,613,184/1,375,310,811 = 1,375,310,811/x
  3. Step 3: Cross multiply
    641,613,184x = 1,375,310,811 × 1,375,310,811
  4. Step 4: Simplify right side
    641,613,184x = 1,891,479,826,853,477,632
  5. Step 5: Solve for x
    x = 1,891,479,826,853,477,632/641,613,184
  6. Step 6: Final answer
    x = 2,948,006,484.31

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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.