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Finding the Third Proportional to 12,744,102 and 18,877,204

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Solution

The third proportional to 12,744,102 and 18,877,204 is: 27,961,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744,102 : 18,877,204 = 18,877,204 : x
  2. Step 2: Convert to fraction form
    12,744,102/18,877,204 = 18,877,204/x
  3. Step 3: Cross multiply
    12,744,102x = 18,877,204 × 18,877,204
  4. Step 4: Simplify right side
    12,744,102x = 356,348,830,857,616
  5. Step 5: Solve for x
    x = 356,348,830,857,616/12,744,102
  6. Step 6: Final answer
    x = 27,961,862.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.