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Finding the Third Proportional to 6,122,104 and 13,346,512

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Solution

The third proportional to 6,122,104 and 13,346,512 is: 29,096,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122,104 : 13,346,512 = 13,346,512 : x
  2. Step 2: Convert to fraction form
    6,122,104/13,346,512 = 13,346,512/x
  3. Step 3: Cross multiply
    6,122,104x = 13,346,512 × 13,346,512
  4. Step 4: Simplify right side
    6,122,104x = 178,129,382,566,144
  5. Step 5: Solve for x
    x = 178,129,382,566,144/6,122,104
  6. Step 6: Final answer
    x = 29,096,105.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.