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Finding the Third Proportional to 51,690,745.50 and 80,028,650.25

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Solution

The third proportional to 51,690,745.50 and 80,028,650.25 is: 123,901,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,690,745.50 : 80,028,650.25 = 80,028,650.25 : x
  2. Step 2: Convert to fraction form
    51,690,745.50/80,028,650.25 = 80,028,650.25/x
  3. Step 3: Cross multiply
    51,690,745.50x = 80,028,650.25 × 80,028,650.25
  4. Step 4: Simplify right side
    51,690,745.50x = 6,404,584,860,836,825
  5. Step 5: Solve for x
    x = 6,404,584,860,836,825/51,690,745.50
  6. Step 6: Final answer
    x = 123,901,963.47

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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.