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Finding the Third Proportional to 12,031,680.75 and 25,981,029.75

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Solution

The third proportional to 12,031,680.75 and 25,981,029.75 is: 56,103,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,680.75 : 25,981,029.75 = 25,981,029.75 : x
  2. Step 2: Convert to fraction form
    12,031,680.75/25,981,029.75 = 25,981,029.75/x
  3. Step 3: Cross multiply
    12,031,680.75x = 25,981,029.75 × 25,981,029.75
  4. Step 4: Simplify right side
    12,031,680.75x = 675,013,906,870,385
  5. Step 5: Solve for x
    x = 675,013,906,870,385/12,031,680.75
  6. Step 6: Final answer
    x = 56,103,043.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.