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Finding the Third Proportional to 3,549,449 and 7,770,604

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Solution

The third proportional to 3,549,449 and 7,770,604 is: 17,011,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549,449 : 7,770,604 = 7,770,604 : x
  2. Step 2: Convert to fraction form
    3,549,449/7,770,604 = 7,770,604/x
  3. Step 3: Cross multiply
    3,549,449x = 7,770,604 × 7,770,604
  4. Step 4: Simplify right side
    3,549,449x = 60,382,286,524,816
  5. Step 5: Solve for x
    x = 60,382,286,524,816/3,549,449
  6. Step 6: Final answer
    x = 17,011,735.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.