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Finding the Third Proportional to 442,179,577 and 946,474,876

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Solution

The third proportional to 442,179,577 and 946,474,876 is: 2,025,906,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,179,577 : 946,474,876 = 946,474,876 : x
  2. Step 2: Convert to fraction form
    442,179,577/946,474,876 = 946,474,876/x
  3. Step 3: Cross multiply
    442,179,577x = 946,474,876 × 946,474,876
  4. Step 4: Simplify right side
    442,179,577x = 895,814,690,899,215,360
  5. Step 5: Solve for x
    x = 895,814,690,899,215,360/442,179,577
  6. Step 6: Final answer
    x = 2,025,906,978.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.