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Finding the Third Proportional to 442,179,571 and 946,474,863

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Solution

The third proportional to 442,179,571 and 946,474,863 is: 2,025,906,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,179,571 : 946,474,863 = 946,474,863 : x
  2. Step 2: Convert to fraction form
    442,179,571/946,474,863 = 946,474,863/x
  3. Step 3: Cross multiply
    442,179,571x = 946,474,863 × 946,474,863
  4. Step 4: Simplify right side
    442,179,571x = 895,814,666,290,868,736
  5. Step 5: Solve for x
    x = 895,814,666,290,868,736/442,179,571
  6. Step 6: Final answer
    x = 2,025,906,950.57

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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.