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Finding the Third Proportional to 5,443,984 and 11,884,096

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Solution

The third proportional to 5,443,984 and 11,884,096 is: 25,942,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443,984 : 11,884,096 = 11,884,096 : x
  2. Step 2: Convert to fraction form
    5,443,984/11,884,096 = 11,884,096/x
  3. Step 3: Cross multiply
    5,443,984x = 11,884,096 × 11,884,096
  4. Step 4: Simplify right side
    5,443,984x = 141,231,737,737,216
  5. Step 5: Solve for x
    x = 141,231,737,737,216/5,443,984
  6. Step 6: Final answer
    x = 25,942,717.27

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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.