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Finding the Third Proportional to 3,254,198 and 6,777,741

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Solution

The third proportional to 3,254,198 and 6,777,741 is: 14,116,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254,198 : 6,777,741 = 6,777,741 : x
  2. Step 2: Convert to fraction form
    3,254,198/6,777,741 = 6,777,741/x
  3. Step 3: Cross multiply
    3,254,198x = 6,777,741 × 6,777,741
  4. Step 4: Simplify right side
    3,254,198x = 45,937,773,063,081
  5. Step 5: Solve for x
    x = 45,937,773,063,081/3,254,198
  6. Step 6: Final answer
    x = 14,116,465.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.