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Finding the Third Proportional to 11,234,216 and 24,198,880

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Solution

The third proportional to 11,234,216 and 24,198,880 is: 52,125,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234,216 : 24,198,880 = 24,198,880 : x
  2. Step 2: Convert to fraction form
    11,234,216/24,198,880 = 24,198,880/x
  3. Step 3: Cross multiply
    11,234,216x = 24,198,880 × 24,198,880
  4. Step 4: Simplify right side
    11,234,216x = 585,585,793,254,400
  5. Step 5: Solve for x
    x = 585,585,793,254,400/11,234,216
  6. Step 6: Final answer
    x = 52,125,203.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.