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Finding the Third Proportional to 11,741,689 and 18,874,703

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Solution

The third proportional to 11,741,689 and 18,874,703 is: 30,340,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741,689 : 18,874,703 = 18,874,703 : x
  2. Step 2: Convert to fraction form
    11,741,689/18,874,703 = 18,874,703/x
  3. Step 3: Cross multiply
    11,741,689x = 18,874,703 × 18,874,703
  4. Step 4: Simplify right side
    11,741,689x = 356,254,413,338,209
  5. Step 5: Solve for x
    x = 356,254,413,338,209/11,741,689
  6. Step 6: Final answer
    x = 30,340,985.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.