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Finding the Third Proportional to 4,491,630,062 and 10,016,031,436

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Solution

The third proportional to 4,491,630,062 and 10,016,031,436 is: 22,335,073,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491,630,062 : 10,016,031,436 = 10,016,031,436 : x
  2. Step 2: Convert to fraction form
    4,491,630,062/10,016,031,436 = 10,016,031,436/x
  3. Step 3: Cross multiply
    4,491,630,062x = 10,016,031,436 × 10,016,031,436
  4. Step 4: Simplify right side
    4,491,630,062x = 100,320,885,726,940,217,344
  5. Step 5: Solve for x
    x = 100,320,885,726,940,217,344/4,491,630,062
  6. Step 6: Final answer
    x = 22,335,073,089.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.