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Finding the Third Proportional to 3,668,816 and 7,781,593

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Solution

The third proportional to 3,668,816 and 7,781,593 is: 16,504,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,816 : 7,781,593 = 7,781,593 : x
  2. Step 2: Convert to fraction form
    3,668,816/7,781,593 = 7,781,593/x
  3. Step 3: Cross multiply
    3,668,816x = 7,781,593 × 7,781,593
  4. Step 4: Simplify right side
    3,668,816x = 60,553,189,617,649
  5. Step 5: Solve for x
    x = 60,553,189,617,649/3,668,816
  6. Step 6: Final answer
    x = 16,504,831.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.