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Finding the Third Proportional to 4,100,432 and 6,516,849

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Solution

The third proportional to 4,100,432 and 6,516,849 is: 10,357,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,432 : 6,516,849 = 6,516,849 : x
  2. Step 2: Convert to fraction form
    4,100,432/6,516,849 = 6,516,849/x
  3. Step 3: Cross multiply
    4,100,432x = 6,516,849 × 6,516,849
  4. Step 4: Simplify right side
    4,100,432x = 42,469,320,888,801
  5. Step 5: Solve for x
    x = 42,469,320,888,801/4,100,432
  6. Step 6: Final answer
    x = 10,357,279.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.