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Finding the Third Proportional to 664,656,624 and 1,454,397,984

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Solution

The third proportional to 664,656,624 and 1,454,397,984 is: 3,182,505,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,656,624 : 1,454,397,984 = 1,454,397,984 : x
  2. Step 2: Convert to fraction form
    664,656,624/1,454,397,984 = 1,454,397,984/x
  3. Step 3: Cross multiply
    664,656,624x = 1,454,397,984 × 1,454,397,984
  4. Step 4: Simplify right side
    664,656,624x = 2,115,273,495,863,264,256
  5. Step 5: Solve for x
    x = 2,115,273,495,863,264,256/664,656,624
  6. Step 6: Final answer
    x = 3,182,505,702.17

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