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Finding the Third Proportional to 41,493,822.75 and 66,669,408.75

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Solution

The third proportional to 41,493,822.75 and 66,669,408.75 is: 107,119,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,493,822.75 : 66,669,408.75 = 66,669,408.75 : x
  2. Step 2: Convert to fraction form
    41,493,822.75/66,669,408.75 = 66,669,408.75/x
  3. Step 3: Cross multiply
    41,493,822.75x = 66,669,408.75 × 66,669,408.75
  4. Step 4: Simplify right side
    41,493,822.75x = 4,444,810,063,074,576.50
  5. Step 5: Solve for x
    x = 4,444,810,063,074,576.50/41,493,822.75
  6. Step 6: Final answer
    x = 107,119,801.66

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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.