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Finding the Third Proportional to 3,738,823 and 8,115,741

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Solution

The third proportional to 3,738,823 and 8,115,741 is: 17,616,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738,823 : 8,115,741 = 8,115,741 : x
  2. Step 2: Convert to fraction form
    3,738,823/8,115,741 = 8,115,741/x
  3. Step 3: Cross multiply
    3,738,823x = 8,115,741 × 8,115,741
  4. Step 4: Simplify right side
    3,738,823x = 65,865,251,979,081
  5. Step 5: Solve for x
    x = 65,865,251,979,081/3,738,823
  6. Step 6: Final answer
    x = 17,616,573.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.