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Finding the Third Proportional to 11,832,166 and 16,908,441

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Solution

The third proportional to 11,832,166 and 16,908,441 is: 24,162,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832,166 : 16,908,441 = 16,908,441 : x
  2. Step 2: Convert to fraction form
    11,832,166/16,908,441 = 16,908,441/x
  3. Step 3: Cross multiply
    11,832,166x = 16,908,441 × 16,908,441
  4. Step 4: Simplify right side
    11,832,166x = 285,895,377,050,481
  5. Step 5: Solve for x
    x = 285,895,377,050,481/11,832,166
  6. Step 6: Final answer
    x = 24,162,556.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.