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Finding the Third Proportional to 8,435,300 and 17,468,744

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Solution

The third proportional to 8,435,300 and 17,468,744 is: 36,176,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435,300 : 17,468,744 = 17,468,744 : x
  2. Step 2: Convert to fraction form
    8,435,300/17,468,744 = 17,468,744/x
  3. Step 3: Cross multiply
    8,435,300x = 17,468,744 × 17,468,744
  4. Step 4: Simplify right side
    8,435,300x = 305,157,016,937,536
  5. Step 5: Solve for x
    x = 305,157,016,937,536/8,435,300
  6. Step 6: Final answer
    x = 36,176,190.17

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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.