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Finding the Third Proportional to 467,295,138 and 997,135,317

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Solution

The third proportional to 467,295,138 and 997,135,317 is: 2,127,732,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,295,138 : 997,135,317 = 997,135,317 : x
  2. Step 2: Convert to fraction form
    467,295,138/997,135,317 = 997,135,317/x
  3. Step 3: Cross multiply
    467,295,138x = 997,135,317 × 997,135,317
  4. Step 4: Simplify right side
    467,295,138x = 994,278,840,408,690,432
  5. Step 5: Solve for x
    x = 994,278,840,408,690,432/467,295,138
  6. Step 6: Final answer
    x = 2,127,732,046.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.