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Finding the Third Proportional to 12,375,100 and 26,578,204

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Solution

The third proportional to 12,375,100 and 26,578,204 is: 57,082,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375,100 : 26,578,204 = 26,578,204 : x
  2. Step 2: Convert to fraction form
    12,375,100/26,578,204 = 26,578,204/x
  3. Step 3: Cross multiply
    12,375,100x = 26,578,204 × 26,578,204
  4. Step 4: Simplify right side
    12,375,100x = 706,400,927,865,616
  5. Step 5: Solve for x
    x = 706,400,927,865,616/12,375,100
  6. Step 6: Final answer
    x = 57,082,441.99

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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.