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Finding the Third Proportional to 7,923,796 and 11,904,612

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Solution

The third proportional to 7,923,796 and 11,904,612 is: 17,885,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923,796 : 11,904,612 = 11,904,612 : x
  2. Step 2: Convert to fraction form
    7,923,796/11,904,612 = 11,904,612/x
  3. Step 3: Cross multiply
    7,923,796x = 11,904,612 × 11,904,612
  4. Step 4: Simplify right side
    7,923,796x = 141,719,786,870,544
  5. Step 5: Solve for x
    x = 141,719,786,870,544/7,923,796
  6. Step 6: Final answer
    x = 17,885,340.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.