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Finding the Third Proportional to 664,656,645 and 1,454,398,023

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Solution

The third proportional to 664,656,645 and 1,454,398,023 is: 3,182,505,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,656,645 : 1,454,398,023 = 1,454,398,023 : x
  2. Step 2: Convert to fraction form
    664,656,645/1,454,398,023 = 1,454,398,023/x
  3. Step 3: Cross multiply
    664,656,645x = 1,454,398,023 × 1,454,398,023
  4. Step 4: Simplify right side
    664,656,645x = 2,115,273,609,306,308,608
  5. Step 5: Solve for x
    x = 2,115,273,609,306,308,608/664,656,645
  6. Step 6: Final answer
    x = 3,182,505,772.29

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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.