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Finding the Third Proportional to 6,680,704 and 14,306,191

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Solution

The third proportional to 6,680,704 and 14,306,191 is: 30,635,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680,704 : 14,306,191 = 14,306,191 : x
  2. Step 2: Convert to fraction form
    6,680,704/14,306,191 = 14,306,191/x
  3. Step 3: Cross multiply
    6,680,704x = 14,306,191 × 14,306,191
  4. Step 4: Simplify right side
    6,680,704x = 204,667,100,928,481
  5. Step 5: Solve for x
    x = 204,667,100,928,481/6,680,704
  6. Step 6: Final answer
    x = 30,635,558.91

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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.