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Finding the Third Proportional to 9,061,823 and 13,724,350

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Solution

The third proportional to 9,061,823 and 13,724,350 is: 20,785,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,061,823 : 13,724,350 = 13,724,350 : x
  2. Step 2: Convert to fraction form
    9,061,823/13,724,350 = 13,724,350/x
  3. Step 3: Cross multiply
    9,061,823x = 13,724,350 × 13,724,350
  4. Step 4: Simplify right side
    9,061,823x = 188,357,782,922,500
  5. Step 5: Solve for x
    x = 188,357,782,922,500/9,061,823
  6. Step 6: Final answer
    x = 20,785,859.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.