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Finding the Third Proportional to 247,393,814 and 488,543,016

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Solution

The third proportional to 247,393,814 and 488,543,016 is: 964,754,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,393,814 : 488,543,016 = 488,543,016 : x
  2. Step 2: Convert to fraction form
    247,393,814/488,543,016 = 488,543,016/x
  3. Step 3: Cross multiply
    247,393,814x = 488,543,016 × 488,543,016
  4. Step 4: Simplify right side
    247,393,814x = 238,674,278,482,376,256
  5. Step 5: Solve for x
    x = 238,674,278,482,376,256/247,393,814
  6. Step 6: Final answer
    x = 964,754,431.90

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.