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Finding the Third Proportional to 4,340,115 and 9,172,304

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Solution

The third proportional to 4,340,115 and 9,172,304 is: 19,384,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340,115 : 9,172,304 = 9,172,304 : x
  2. Step 2: Convert to fraction form
    4,340,115/9,172,304 = 9,172,304/x
  3. Step 3: Cross multiply
    4,340,115x = 9,172,304 × 9,172,304
  4. Step 4: Simplify right side
    4,340,115x = 84,131,160,668,416
  5. Step 5: Solve for x
    x = 84,131,160,668,416/4,340,115
  6. Step 6: Final answer
    x = 19,384,546.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.