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Finding the Third Proportional to 2,581,186,372 and 3,967,469,286

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Solution

The third proportional to 2,581,186,372 and 3,967,469,286 is: 6,098,285,930.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581,186,372 : 3,967,469,286 = 3,967,469,286 : x
  2. Step 2: Convert to fraction form
    2,581,186,372/3,967,469,286 = 3,967,469,286/x
  3. Step 3: Cross multiply
    2,581,186,372x = 3,967,469,286 × 3,967,469,286
  4. Step 4: Simplify right side
    2,581,186,372x = 15,740,812,535,353,350,144
  5. Step 5: Solve for x
    x = 15,740,812,535,353,350,144/2,581,186,372
  6. Step 6: Final answer
    x = 6,098,285,930.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.