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Finding the Third Proportional to 12,474,106 and 26,873,204

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Solution

The third proportional to 12,474,106 and 26,873,204 is: 57,893,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474,106 : 26,873,204 = 26,873,204 : x
  2. Step 2: Convert to fraction form
    12,474,106/26,873,204 = 26,873,204/x
  3. Step 3: Cross multiply
    12,474,106x = 26,873,204 × 26,873,204
  4. Step 4: Simplify right side
    12,474,106x = 722,169,093,225,616
  5. Step 5: Solve for x
    x = 722,169,093,225,616/12,474,106
  6. Step 6: Final answer
    x = 57,893,454.91

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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.