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Finding the Third Proportional to 11,966,928 and 26,099,872

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Solution

The third proportional to 11,966,928 and 26,099,872 is: 56,923,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966,928 : 26,099,872 = 26,099,872 : x
  2. Step 2: Convert to fraction form
    11,966,928/26,099,872 = 26,099,872/x
  3. Step 3: Cross multiply
    11,966,928x = 26,099,872 × 26,099,872
  4. Step 4: Simplify right side
    11,966,928x = 681,203,318,416,384
  5. Step 5: Solve for x
    x = 681,203,318,416,384/11,966,928
  6. Step 6: Final answer
    x = 56,923,825.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.