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Finding the Third Proportional to 664,656,564 and 1,454,397,864

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Solution

The third proportional to 664,656,564 and 1,454,397,864 is: 3,182,505,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,656,564 : 1,454,397,864 = 1,454,397,864 : x
  2. Step 2: Convert to fraction form
    664,656,564/1,454,397,864 = 1,454,397,864/x
  3. Step 3: Cross multiply
    664,656,564x = 1,454,397,864 × 1,454,397,864
  4. Step 4: Simplify right side
    664,656,564x = 2,115,273,146,807,762,432
  5. Step 5: Solve for x
    x = 2,115,273,146,807,762,432/664,656,564
  6. Step 6: Final answer
    x = 3,182,505,464.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.