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Finding the Third Proportional to 4,468,977 and 9,474,228

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Solution

The third proportional to 4,468,977 and 9,474,228 is: 20,085,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468,977 : 9,474,228 = 9,474,228 : x
  2. Step 2: Convert to fraction form
    4,468,977/9,474,228 = 9,474,228/x
  3. Step 3: Cross multiply
    4,468,977x = 9,474,228 × 9,474,228
  4. Step 4: Simplify right side
    4,468,977x = 89,760,996,195,984
  5. Step 5: Solve for x
    x = 89,760,996,195,984/4,468,977
  6. Step 6: Final answer
    x = 20,085,356.49

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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.