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Finding the Third Proportional to 11,902,214.14 and 16,760,940.29

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Solution

The third proportional to 11,902,214.14 and 16,760,940.29 is: 23,603,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902,214.14 : 16,760,940.29 = 16,760,940.29 : x
  2. Step 2: Convert to fraction form
    11,902,214.14/16,760,940.29 = 16,760,940.29/x
  3. Step 3: Cross multiply
    11,902,214.14x = 16,760,940.29 × 16,760,940.29
  4. Step 4: Simplify right side
    11,902,214.14x = 280,929,119,504,471.72
  5. Step 5: Solve for x
    x = 280,929,119,504,471.72/11,902,214.14
  6. Step 6: Final answer
    x = 23,603,097.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.