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Finding the Third Proportional to 32,969,200 and 48,465,920

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Solution

The third proportional to 32,969,200 and 48,465,920 is: 71,246,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969,200 : 48,465,920 = 48,465,920 : x
  2. Step 2: Convert to fraction form
    32,969,200/48,465,920 = 48,465,920/x
  3. Step 3: Cross multiply
    32,969,200x = 48,465,920 × 48,465,920
  4. Step 4: Simplify right side
    32,969,200x = 2,348,945,401,446,400
  5. Step 5: Solve for x
    x = 2,348,945,401,446,400/32,969,200
  6. Step 6: Final answer
    x = 71,246,660.56

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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.