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Finding the Third Proportional to 31,120,830 and 50,002,692.75

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Solution

The third proportional to 31,120,830 and 50,002,692.75 is: 80,340,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120,830 : 50,002,692.75 = 50,002,692.75 : x
  2. Step 2: Convert to fraction form
    31,120,830/50,002,692.75 = 50,002,692.75/x
  3. Step 3: Cross multiply
    31,120,830x = 50,002,692.75 × 50,002,692.75
  4. Step 4: Simplify right side
    31,120,830x = 2,500,269,282,250,902.50
  5. Step 5: Solve for x
    x = 2,500,269,282,250,902.50/31,120,830
  6. Step 6: Final answer
    x = 80,340,700.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.