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Finding the Third Proportional to 4,904,794 and 11,456,164

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Solution

The third proportional to 4,904,794 and 11,456,164 is: 26,758,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904,794 : 11,456,164 = 11,456,164 : x
  2. Step 2: Convert to fraction form
    4,904,794/11,456,164 = 11,456,164/x
  3. Step 3: Cross multiply
    4,904,794x = 11,456,164 × 11,456,164
  4. Step 4: Simplify right side
    4,904,794x = 131,243,693,594,896
  5. Step 5: Solve for x
    x = 131,243,693,594,896/4,904,794
  6. Step 6: Final answer
    x = 26,758,247.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.