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Finding the Third Proportional to 224,474,740 and 482,366,816

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Solution

The third proportional to 224,474,740 and 482,366,816 is: 1,036,543,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,474,740 : 482,366,816 = 482,366,816 : x
  2. Step 2: Convert to fraction form
    224,474,740/482,366,816 = 482,366,816/x
  3. Step 3: Cross multiply
    224,474,740x = 482,366,816 × 482,366,816
  4. Step 4: Simplify right side
    224,474,740x = 232,677,745,177,977,856
  5. Step 5: Solve for x
    x = 232,677,745,177,977,856/224,474,740
  6. Step 6: Final answer
    x = 1,036,543,110.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.