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Finding the Third Proportional to 31,522,351.50 and 68,425,249.50

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Solution

The third proportional to 31,522,351.50 and 68,425,249.50 is: 148,529,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522,351.50 : 68,425,249.50 = 68,425,249.50 : x
  2. Step 2: Convert to fraction form
    31,522,351.50/68,425,249.50 = 68,425,249.50/x
  3. Step 3: Cross multiply
    31,522,351.50x = 68,425,249.50 × 68,425,249.50
  4. Step 4: Simplify right side
    31,522,351.50x = 4,682,014,769,137,250
  5. Step 5: Solve for x
    x = 4,682,014,769,137,250/31,522,351.50
  6. Step 6: Final answer
    x = 148,529,996.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.