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Finding the Third Proportional to 6,467,226 and 14,082,627

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Solution

The third proportional to 6,467,226 and 14,082,627 is: 30,665,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,226 : 14,082,627 = 14,082,627 : x
  2. Step 2: Convert to fraction form
    6,467,226/14,082,627 = 14,082,627/x
  3. Step 3: Cross multiply
    6,467,226x = 14,082,627 × 14,082,627
  4. Step 4: Simplify right side
    6,467,226x = 198,320,383,221,129
  5. Step 5: Solve for x
    x = 198,320,383,221,129/6,467,226
  6. Step 6: Final answer
    x = 30,665,448.09

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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.