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Finding the Third Proportional to 1,962,491,546 and 3,982,649,908

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Solution

The third proportional to 1,962,491,546 and 3,982,649,908 is: 8,082,327,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962,491,546 : 3,982,649,908 = 3,982,649,908 : x
  2. Step 2: Convert to fraction form
    1,962,491,546/3,982,649,908 = 3,982,649,908/x
  3. Step 3: Cross multiply
    1,962,491,546x = 3,982,649,908 × 3,982,649,908
  4. Step 4: Simplify right side
    1,962,491,546x = 15,861,500,289,692,407,808
  5. Step 5: Solve for x
    x = 15,861,500,289,692,407,808/1,962,491,546
  6. Step 6: Final answer
    x = 8,082,327,958.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.