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Finding the Third Proportional to 3,803,802 and 8,206,809

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Solution

The third proportional to 3,803,802 and 8,206,809 is: 17,706,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803,802 : 8,206,809 = 8,206,809 : x
  2. Step 2: Convert to fraction form
    3,803,802/8,206,809 = 8,206,809/x
  3. Step 3: Cross multiply
    3,803,802x = 8,206,809 × 8,206,809
  4. Step 4: Simplify right side
    3,803,802x = 67,351,713,962,481
  5. Step 5: Solve for x
    x = 67,351,713,962,481/3,803,802
  6. Step 6: Final answer
    x = 17,706,419.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.