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Finding the Third Proportional to 12,782,934 and 17,276,193

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Solution

The third proportional to 12,782,934 and 17,276,193 is: 23,348,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782,934 : 17,276,193 = 17,276,193 : x
  2. Step 2: Convert to fraction form
    12,782,934/17,276,193 = 17,276,193/x
  3. Step 3: Cross multiply
    12,782,934x = 17,276,193 × 17,276,193
  4. Step 4: Simplify right side
    12,782,934x = 298,466,844,573,249
  5. Step 5: Solve for x
    x = 298,466,844,573,249/12,782,934
  6. Step 6: Final answer
    x = 23,348,852.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.