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Finding the Third Proportional to 11,956,493 and 16,777,329

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Solution

The third proportional to 11,956,493 and 16,777,329 is: 23,541,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956,493 : 16,777,329 = 16,777,329 : x
  2. Step 2: Convert to fraction form
    11,956,493/16,777,329 = 16,777,329/x
  3. Step 3: Cross multiply
    11,956,493x = 16,777,329 × 16,777,329
  4. Step 4: Simplify right side
    11,956,493x = 281,478,768,374,241
  5. Step 5: Solve for x
    x = 281,478,768,374,241/11,956,493
  6. Step 6: Final answer
    x = 23,541,917.21

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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.