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Finding the Third Proportional to 32,962,647 and 48,491,349.75

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Solution

The third proportional to 32,962,647 and 48,491,349.75 is: 71,335,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962,647 : 48,491,349.75 = 48,491,349.75 : x
  2. Step 2: Convert to fraction form
    32,962,647/48,491,349.75 = 48,491,349.75/x
  3. Step 3: Cross multiply
    32,962,647x = 48,491,349.75 × 48,491,349.75
  4. Step 4: Simplify right side
    32,962,647x = 2,351,411,000,576,825
  5. Step 5: Solve for x
    x = 2,351,411,000,576,825/32,962,647
  6. Step 6: Final answer
    x = 71,335,624.25

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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.