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Finding the Third Proportional to 263,445,797,376 and 355,450,231,566

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Solution

The third proportional to 263,445,797,376 and 355,450,231,566 is: 479,585,813,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,445,797,376 : 355,450,231,566 = 355,450,231,566 : x
  2. Step 2: Convert to fraction form
    263,445,797,376/355,450,231,566 = 355,450,231,566/x
  3. Step 3: Cross multiply
    263,445,797,376x = 355,450,231,566 × 355,450,231,566
  4. Step 4: Simplify right side
    263,445,797,376x = 126,344,867,120,323,015,737,344
  5. Step 5: Solve for x
    x = 126,344,867,120,323,015,737,344/263,445,797,376
  6. Step 6: Final answer
    x = 479,585,813,775.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.