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Finding the Third Proportional to 342,071,976 and 746,868,570

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Solution

The third proportional to 342,071,976 and 746,868,570 is: 1,630,687,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,071,976 : 746,868,570 = 746,868,570 : x
  2. Step 2: Convert to fraction form
    342,071,976/746,868,570 = 746,868,570/x
  3. Step 3: Cross multiply
    342,071,976x = 746,868,570 × 746,868,570
  4. Step 4: Simplify right side
    342,071,976x = 557,812,660,853,844,928
  5. Step 5: Solve for x
    x = 557,812,660,853,844,928/342,071,976
  6. Step 6: Final answer
    x = 1,630,687,983.79

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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.