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Finding the Third Proportional to 8,435,616 and 17,469,426

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Solution

The third proportional to 8,435,616 and 17,469,426 is: 36,177,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435,616 : 17,469,426 = 17,469,426 : x
  2. Step 2: Convert to fraction form
    8,435,616/17,469,426 = 17,469,426/x
  3. Step 3: Cross multiply
    8,435,616x = 17,469,426 × 17,469,426
  4. Step 4: Simplify right side
    8,435,616x = 305,180,844,769,476
  5. Step 5: Solve for x
    x = 305,180,844,769,476/8,435,616
  6. Step 6: Final answer
    x = 36,177,659.67

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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.