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Finding the Third Proportional to 11,956,380 and 16,777,164

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Solution

The third proportional to 11,956,380 and 16,777,164 is: 23,541,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956,380 : 16,777,164 = 16,777,164 : x
  2. Step 2: Convert to fraction form
    11,956,380/16,777,164 = 16,777,164/x
  3. Step 3: Cross multiply
    11,956,380x = 16,777,164 × 16,777,164
  4. Step 4: Simplify right side
    11,956,380x = 281,473,231,882,896
  5. Step 5: Solve for x
    x = 281,473,231,882,896/11,956,380
  6. Step 6: Final answer
    x = 23,541,676.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.