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Finding the Third Proportional to 442,179,578 and 946,474,877

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Solution

The third proportional to 442,179,578 and 946,474,877 is: 2,025,906,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,179,578 : 946,474,877 = 946,474,877 : x
  2. Step 2: Convert to fraction form
    442,179,578/946,474,877 = 946,474,877/x
  3. Step 3: Cross multiply
    442,179,578x = 946,474,877 × 946,474,877
  4. Step 4: Simplify right side
    442,179,578x = 895,814,692,792,165,120
  5. Step 5: Solve for x
    x = 895,814,692,792,165,120/442,179,578
  6. Step 6: Final answer
    x = 2,025,906,978.44

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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.