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Finding the Third Proportional to 5,981,381 and 13,120,767

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Solution

The third proportional to 5,981,381 and 13,120,767 is: 28,781,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981,381 : 13,120,767 = 13,120,767 : x
  2. Step 2: Convert to fraction form
    5,981,381/13,120,767 = 13,120,767/x
  3. Step 3: Cross multiply
    5,981,381x = 13,120,767 × 13,120,767
  4. Step 4: Simplify right side
    5,981,381x = 172,154,526,668,289
  5. Step 5: Solve for x
    x = 172,154,526,668,289/5,981,381
  6. Step 6: Final answer
    x = 28,781,735.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.