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Finding the Third Proportional to 8,131,592 and 10,840,647

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Solution

The third proportional to 8,131,592 and 10,840,647 is: 14,452,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131,592 : 10,840,647 = 10,840,647 : x
  2. Step 2: Convert to fraction form
    8,131,592/10,840,647 = 10,840,647/x
  3. Step 3: Cross multiply
    8,131,592x = 10,840,647 × 10,840,647
  4. Step 4: Simplify right side
    8,131,592x = 117,519,627,378,609
  5. Step 5: Solve for x
    x = 117,519,627,378,609/8,131,592
  6. Step 6: Final answer
    x = 14,452,228.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.