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Finding the Third Proportional to 32,962,950 and 48,491,644.78

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Solution

The third proportional to 32,962,950 and 48,491,644.78 is: 71,335,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962,950 : 48,491,644.78 = 48,491,644.78 : x
  2. Step 2: Convert to fraction form
    32,962,950/48,491,644.78 = 48,491,644.78/x
  3. Step 3: Cross multiply
    32,962,950x = 48,491,644.78 × 48,491,644.78
  4. Step 4: Simplify right side
    32,962,950x = 2,351,439,613,590,930.50
  5. Step 5: Solve for x
    x = 2,351,439,613,590,930.50/32,962,950
  6. Step 6: Final answer
    x = 71,335,836.56

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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.