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Finding the Third Proportional to 3,853,341 and 8,385,021

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Solution

The third proportional to 3,853,341 and 8,385,021 is: 18,246,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853,341 : 8,385,021 = 8,385,021 : x
  2. Step 2: Convert to fraction form
    3,853,341/8,385,021 = 8,385,021/x
  3. Step 3: Cross multiply
    3,853,341x = 8,385,021 × 8,385,021
  4. Step 4: Simplify right side
    3,853,341x = 70,308,577,170,441
  5. Step 5: Solve for x
    x = 70,308,577,170,441/3,853,341
  6. Step 6: Final answer
    x = 18,246,134.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.