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Finding the Third Proportional to 12,241,296 and 18,888,624

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Solution

The third proportional to 12,241,296 and 18,888,624 is: 29,145,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241,296 : 18,888,624 = 18,888,624 : x
  2. Step 2: Convert to fraction form
    12,241,296/18,888,624 = 18,888,624/x
  3. Step 3: Cross multiply
    12,241,296x = 18,888,624 × 18,888,624
  4. Step 4: Simplify right side
    12,241,296x = 356,780,116,613,376
  5. Step 5: Solve for x
    x = 356,780,116,613,376/12,241,296
  6. Step 6: Final answer
    x = 29,145,616.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.