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Finding the Third Proportional to 11,799,900 and 18,541,233

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Solution

The third proportional to 11,799,900 and 18,541,233 is: 29,133,918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799,900 : 18,541,233 = 18,541,233 : x
  2. Step 2: Convert to fraction form
    11,799,900/18,541,233 = 18,541,233/x
  3. Step 3: Cross multiply
    11,799,900x = 18,541,233 × 18,541,233
  4. Step 4: Simplify right side
    11,799,900x = 343,777,321,160,289
  5. Step 5: Solve for x
    x = 343,777,321,160,289/11,799,900
  6. Step 6: Final answer
    x = 29,133,918.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.