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Finding the Third Proportional to 8,382,020 and 18,410,020

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Solution

The third proportional to 8,382,020 and 18,410,020 is: 40,435,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382,020 : 18,410,020 = 18,410,020 : x
  2. Step 2: Convert to fraction form
    8,382,020/18,410,020 = 18,410,020/x
  3. Step 3: Cross multiply
    8,382,020x = 18,410,020 × 18,410,020
  4. Step 4: Simplify right side
    8,382,020x = 338,928,836,400,400
  5. Step 5: Solve for x
    x = 338,928,836,400,400/8,382,020
  6. Step 6: Final answer
    x = 40,435,221.63

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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.