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Finding the Third Proportional to 7,467,115 and 16,285,741

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Solution

The third proportional to 7,467,115 and 16,285,741 is: 35,519,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467,115 : 16,285,741 = 16,285,741 : x
  2. Step 2: Convert to fraction form
    7,467,115/16,285,741 = 16,285,741/x
  3. Step 3: Cross multiply
    7,467,115x = 16,285,741 × 16,285,741
  4. Step 4: Simplify right side
    7,467,115x = 265,225,359,919,081
  5. Step 5: Solve for x
    x = 265,225,359,919,081/7,467,115
  6. Step 6: Final answer
    x = 35,519,120.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.