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Finding the Third Proportional to 10,932,928 and 16,972,400

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Solution

The third proportional to 10,932,928 and 16,972,400 is: 26,348,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932,928 : 16,972,400 = 16,972,400 : x
  2. Step 2: Convert to fraction form
    10,932,928/16,972,400 = 16,972,400/x
  3. Step 3: Cross multiply
    10,932,928x = 16,972,400 × 16,972,400
  4. Step 4: Simplify right side
    10,932,928x = 288,062,361,760,000
  5. Step 5: Solve for x
    x = 288,062,361,760,000/10,932,928
  6. Step 6: Final answer
    x = 26,348,144.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.