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Finding the Third Proportional to 3,582,198 and 7,568,721

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Solution

The third proportional to 3,582,198 and 7,568,721 is: 15,991,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582,198 : 7,568,721 = 7,568,721 : x
  2. Step 2: Convert to fraction form
    3,582,198/7,568,721 = 7,568,721/x
  3. Step 3: Cross multiply
    3,582,198x = 7,568,721 × 7,568,721
  4. Step 4: Simplify right side
    3,582,198x = 57,285,537,575,841
  5. Step 5: Solve for x
    x = 57,285,537,575,841/3,582,198
  6. Step 6: Final answer
    x = 15,991,728.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.