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Finding the Third Proportional to 6,724,847 and 13,928,215

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Solution

The third proportional to 6,724,847 and 13,928,215 is: 28,847,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724,847 : 13,928,215 = 13,928,215 : x
  2. Step 2: Convert to fraction form
    6,724,847/13,928,215 = 13,928,215/x
  3. Step 3: Cross multiply
    6,724,847x = 13,928,215 × 13,928,215
  4. Step 4: Simplify right side
    6,724,847x = 193,995,173,086,225
  5. Step 5: Solve for x
    x = 193,995,173,086,225/6,724,847
  6. Step 6: Final answer
    x = 28,847,522.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.