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Finding the Third Proportional to 5,431,872 and 11,797,936

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Solution

The third proportional to 5,431,872 and 11,797,936 is: 25,624,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431,872 : 11,797,936 = 11,797,936 : x
  2. Step 2: Convert to fraction form
    5,431,872/11,797,936 = 11,797,936/x
  3. Step 3: Cross multiply
    5,431,872x = 11,797,936 × 11,797,936
  4. Step 4: Simplify right side
    5,431,872x = 139,191,293,860,096
  5. Step 5: Solve for x
    x = 139,191,293,860,096/5,431,872
  6. Step 6: Final answer
    x = 25,624,921.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.