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Finding the Third Proportional to 3,923,184 and 8,447,523

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Solution

The third proportional to 3,923,184 and 8,447,523 is: 18,189,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923,184 : 8,447,523 = 8,447,523 : x
  2. Step 2: Convert to fraction form
    3,923,184/8,447,523 = 8,447,523/x
  3. Step 3: Cross multiply
    3,923,184x = 8,447,523 × 8,447,523
  4. Step 4: Simplify right side
    3,923,184x = 71,360,644,835,529
  5. Step 5: Solve for x
    x = 71,360,644,835,529/3,923,184
  6. Step 6: Final answer
    x = 18,189,471.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.