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Finding the Third Proportional to 11,892,256 and 17,949,856

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Solution

The third proportional to 11,892,256 and 17,949,856 is: 27,093,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892,256 : 17,949,856 = 17,949,856 : x
  2. Step 2: Convert to fraction form
    11,892,256/17,949,856 = 17,949,856/x
  3. Step 3: Cross multiply
    11,892,256x = 17,949,856 × 17,949,856
  4. Step 4: Simplify right side
    11,892,256x = 322,197,330,420,736
  5. Step 5: Solve for x
    x = 322,197,330,420,736/11,892,256
  6. Step 6: Final answer
    x = 27,093,036.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.