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Finding the Third Proportional to 12,082,632 and 18,299,439

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Solution

The third proportional to 12,082,632 and 18,299,439 is: 27,714,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,632 : 18,299,439 = 18,299,439 : x
  2. Step 2: Convert to fraction form
    12,082,632/18,299,439 = 18,299,439/x
  3. Step 3: Cross multiply
    12,082,632x = 18,299,439 × 18,299,439
  4. Step 4: Simplify right side
    12,082,632x = 334,869,467,714,721
  5. Step 5: Solve for x
    x = 334,869,467,714,721/12,082,632
  6. Step 6: Final answer
    x = 27,714,943.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.