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Finding the Third Proportional to 263,445,797,369 and 355,450,231,558

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Solution

The third proportional to 263,445,797,369 and 355,450,231,558 is: 479,585,813,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,445,797,369 : 355,450,231,558 = 355,450,231,558 : x
  2. Step 2: Convert to fraction form
    263,445,797,369/355,450,231,558 = 355,450,231,558/x
  3. Step 3: Cross multiply
    263,445,797,369x = 355,450,231,558 × 355,450,231,558
  4. Step 4: Simplify right side
    263,445,797,369x = 126,344,867,114,635,824,726,016
  5. Step 5: Solve for x
    x = 126,344,867,114,635,824,726,016/263,445,797,369
  6. Step 6: Final answer
    x = 479,585,813,766.73

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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.