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Finding the Third Proportional to 3,381,559 and 6,881,214

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Solution

The third proportional to 3,381,559 and 6,881,214 is: 14,002,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381,559 : 6,881,214 = 6,881,214 : x
  2. Step 2: Convert to fraction form
    3,381,559/6,881,214 = 6,881,214/x
  3. Step 3: Cross multiply
    3,381,559x = 6,881,214 × 6,881,214
  4. Step 4: Simplify right side
    3,381,559x = 47,351,106,113,796
  5. Step 5: Solve for x
    x = 47,351,106,113,796/3,381,559
  6. Step 6: Final answer
    x = 14,002,744.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.