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Finding the Third Proportional to 7,904,424 and 17,007,216

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Solution

The third proportional to 7,904,424 and 17,007,216 is: 36,592,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904,424 : 17,007,216 = 17,007,216 : x
  2. Step 2: Convert to fraction form
    7,904,424/17,007,216 = 17,007,216/x
  3. Step 3: Cross multiply
    7,904,424x = 17,007,216 × 17,007,216
  4. Step 4: Simplify right side
    7,904,424x = 289,245,396,070,656
  5. Step 5: Solve for x
    x = 289,245,396,070,656/7,904,424
  6. Step 6: Final answer
    x = 36,592,849.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.