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Finding the Third Proportional to 5,741,041 and 12,306,329

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Solution

The third proportional to 5,741,041 and 12,306,329 is: 26,379,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741,041 : 12,306,329 = 12,306,329 : x
  2. Step 2: Convert to fraction form
    5,741,041/12,306,329 = 12,306,329/x
  3. Step 3: Cross multiply
    5,741,041x = 12,306,329 × 12,306,329
  4. Step 4: Simplify right side
    5,741,041x = 151,445,733,456,241
  5. Step 5: Solve for x
    x = 151,445,733,456,241/5,741,041
  6. Step 6: Final answer
    x = 26,379,489.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.