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Finding the Third Proportional to 3,274,614 and 6,998,103

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Solution

The third proportional to 3,274,614 and 6,998,103 is: 14,955,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,614 : 6,998,103 = 6,998,103 : x
  2. Step 2: Convert to fraction form
    3,274,614/6,998,103 = 6,998,103/x
  3. Step 3: Cross multiply
    3,274,614x = 6,998,103 × 6,998,103
  4. Step 4: Simplify right side
    3,274,614x = 48,973,445,598,609
  5. Step 5: Solve for x
    x = 48,973,445,598,609/3,274,614
  6. Step 6: Final answer
    x = 14,955,486.54

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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.