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Finding the Third Proportional to 664,641,366 and 1,446,317,838

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Solution

The third proportional to 664,641,366 and 1,446,317,838 is: 3,147,314,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,641,366 : 1,446,317,838 = 1,446,317,838 : x
  2. Step 2: Convert to fraction form
    664,641,366/1,446,317,838 = 1,446,317,838/x
  3. Step 3: Cross multiply
    664,641,366x = 1,446,317,838 × 1,446,317,838
  4. Step 4: Simplify right side
    664,641,366x = 2,091,835,288,516,994,304
  5. Step 5: Solve for x
    x = 2,091,835,288,516,994,304/664,641,366
  6. Step 6: Final answer
    x = 3,147,314,319.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.