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Finding the Third Proportional to 4,654,474 and 9,872,372

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Solution

The third proportional to 4,654,474 and 9,872,372 is: 20,939,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654,474 : 9,872,372 = 9,872,372 : x
  2. Step 2: Convert to fraction form
    4,654,474/9,872,372 = 9,872,372/x
  3. Step 3: Cross multiply
    4,654,474x = 9,872,372 × 9,872,372
  4. Step 4: Simplify right side
    4,654,474x = 97,463,728,906,384
  5. Step 5: Solve for x
    x = 97,463,728,906,384/4,654,474
  6. Step 6: Final answer
    x = 20,939,794.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.