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Finding the Third Proportional to 11,956,463 and 16,777,285

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Solution

The third proportional to 11,956,463 and 16,777,285 is: 23,541,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956,463 : 16,777,285 = 16,777,285 : x
  2. Step 2: Convert to fraction form
    11,956,463/16,777,285 = 16,777,285/x
  3. Step 3: Cross multiply
    11,956,463x = 16,777,285 × 16,777,285
  4. Step 4: Simplify right side
    11,956,463x = 281,477,291,971,225
  5. Step 5: Solve for x
    x = 281,477,291,971,225/11,956,463
  6. Step 6: Final answer
    x = 23,541,852.80

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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.