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Finding the Third Proportional to 338,179,455 and 523,633,121.44

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Solution

The third proportional to 338,179,455 and 523,633,121.44 is: 810,787,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,179,455 : 523,633,121.44 = 523,633,121.44 : x
  2. Step 2: Convert to fraction form
    338,179,455/523,633,121.44 = 523,633,121.44/x
  3. Step 3: Cross multiply
    338,179,455x = 523,633,121.44 × 523,633,121.44
  4. Step 4: Simplify right side
    338,179,455x = 274,191,645,866,379,616
  5. Step 5: Solve for x
    x = 274,191,645,866,379,616/338,179,455
  6. Step 6: Final answer
    x = 810,787,414.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.