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Finding the Third Proportional to 4,632,022 and 10,206,396

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Solution

The third proportional to 4,632,022 and 10,206,396 is: 22,489,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632,022 : 10,206,396 = 10,206,396 : x
  2. Step 2: Convert to fraction form
    4,632,022/10,206,396 = 10,206,396/x
  3. Step 3: Cross multiply
    4,632,022x = 10,206,396 × 10,206,396
  4. Step 4: Simplify right side
    4,632,022x = 104,170,519,308,816
  5. Step 5: Solve for x
    x = 104,170,519,308,816/4,632,022
  6. Step 6: Final answer
    x = 22,489,210.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.