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Finding the Third Proportional to 11,929,728 and 18,241,254

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Solution

The third proportional to 11,929,728 and 18,241,254 is: 27,891,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929,728 : 18,241,254 = 18,241,254 : x
  2. Step 2: Convert to fraction form
    11,929,728/18,241,254 = 18,241,254/x
  3. Step 3: Cross multiply
    11,929,728x = 18,241,254 × 18,241,254
  4. Step 4: Simplify right side
    11,929,728x = 332,743,347,492,516
  5. Step 5: Solve for x
    x = 332,743,347,492,516/11,929,728
  6. Step 6: Final answer
    x = 27,891,947.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.