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Finding the Third Proportional to 17,906,037 and 38,364,704

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Solution

The third proportional to 17,906,037 and 38,364,704 is: 82,198,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906,037 : 38,364,704 = 38,364,704 : x
  2. Step 2: Convert to fraction form
    17,906,037/38,364,704 = 38,364,704/x
  3. Step 3: Cross multiply
    17,906,037x = 38,364,704 × 38,364,704
  4. Step 4: Simplify right side
    17,906,037x = 1,471,850,513,007,616
  5. Step 5: Solve for x
    x = 1,471,850,513,007,616/17,906,037
  6. Step 6: Final answer
    x = 82,198,563.14

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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.