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Finding the Third Proportional to 6,168,816 and 13,367,223

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Solution

The third proportional to 6,168,816 and 13,367,223 is: 28,965,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168,816 : 13,367,223 = 13,367,223 : x
  2. Step 2: Convert to fraction form
    6,168,816/13,367,223 = 13,367,223/x
  3. Step 3: Cross multiply
    6,168,816x = 13,367,223 × 13,367,223
  4. Step 4: Simplify right side
    6,168,816x = 178,682,650,731,729
  5. Step 5: Solve for x
    x = 178,682,650,731,729/6,168,816
  6. Step 6: Final answer
    x = 28,965,469.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.