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Finding the Third Proportional to 384,934,864 and 908,377,384

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Solution

The third proportional to 384,934,864 and 908,377,384 is: 2,143,608,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,934,864 : 908,377,384 = 908,377,384 : x
  2. Step 2: Convert to fraction form
    384,934,864/908,377,384 = 908,377,384/x
  3. Step 3: Cross multiply
    384,934,864x = 908,377,384 × 908,377,384
  4. Step 4: Simplify right side
    384,934,864x = 825,149,471,762,683,392
  5. Step 5: Solve for x
    x = 825,149,471,762,683,392/384,934,864
  6. Step 6: Final answer
    x = 2,143,608,046.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.