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Finding the Third Proportional to 32,963,162 and 48,491,823

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Solution

The third proportional to 32,963,162 and 48,491,823 is: 71,335,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963,162 : 48,491,823 = 48,491,823 : x
  2. Step 2: Convert to fraction form
    32,963,162/48,491,823 = 48,491,823/x
  3. Step 3: Cross multiply
    32,963,162x = 48,491,823 × 48,491,823
  4. Step 4: Simplify right side
    32,963,162x = 2,351,456,897,863,329
  5. Step 5: Solve for x
    x = 2,351,456,897,863,329/32,963,162
  6. Step 6: Final answer
    x = 71,335,902.12

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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.