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Finding the Third Proportional to 32,969,638 and 50,433,529

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Solution

The third proportional to 32,969,638 and 50,433,529 is: 77,147,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969,638 : 50,433,529 = 50,433,529 : x
  2. Step 2: Convert to fraction form
    32,969,638/50,433,529 = 50,433,529/x
  3. Step 3: Cross multiply
    32,969,638x = 50,433,529 × 50,433,529
  4. Step 4: Simplify right side
    32,969,638x = 2,543,540,847,393,841
  5. Step 5: Solve for x
    x = 2,543,540,847,393,841/32,969,638
  6. Step 6: Final answer
    x = 77,147,976.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.