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Finding the Third Proportional to 11,929,727 and 18,241,253

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Solution

The third proportional to 11,929,727 and 18,241,253 is: 27,891,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929,727 : 18,241,253 = 18,241,253 : x
  2. Step 2: Convert to fraction form
    11,929,727/18,241,253 = 18,241,253/x
  3. Step 3: Cross multiply
    11,929,727x = 18,241,253 × 18,241,253
  4. Step 4: Simplify right side
    11,929,727x = 332,743,311,010,009
  5. Step 5: Solve for x
    x = 332,743,311,010,009/11,929,727
  6. Step 6: Final answer
    x = 27,891,946.82

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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.