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Finding the Third Proportional to 32,962,923 and 48,491,760

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Solution

The third proportional to 32,962,923 and 48,491,760 is: 71,336,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962,923 : 48,491,760 = 48,491,760 : x
  2. Step 2: Convert to fraction form
    32,962,923/48,491,760 = 48,491,760/x
  3. Step 3: Cross multiply
    32,962,923x = 48,491,760 × 48,491,760
  4. Step 4: Simplify right side
    32,962,923x = 2,351,450,787,897,600
  5. Step 5: Solve for x
    x = 2,351,450,787,897,600/32,962,923
  6. Step 6: Final answer
    x = 71,336,233.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.