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Finding the Third Proportional to 263,445,797,367 and 355,450,231,555

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Solution

The third proportional to 263,445,797,367 and 355,450,231,555 is: 479,585,813,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,445,797,367 : 355,450,231,555 = 355,450,231,555 : x
  2. Step 2: Convert to fraction form
    263,445,797,367/355,450,231,555 = 355,450,231,555/x
  3. Step 3: Cross multiply
    263,445,797,367x = 355,450,231,555 × 355,450,231,555
  4. Step 4: Simplify right side
    263,445,797,367x = 126,344,867,112,503,121,805,312
  5. Step 5: Solve for x
    x = 126,344,867,112,503,121,805,312/263,445,797,367
  6. Step 6: Final answer
    x = 479,585,813,762.27

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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.