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Finding the Third Proportional to 6,467,250 and 14,082,678

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Solution

The third proportional to 6,467,250 and 14,082,678 is: 30,665,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,250 : 14,082,678 = 14,082,678 : x
  2. Step 2: Convert to fraction form
    6,467,250/14,082,678 = 14,082,678/x
  3. Step 3: Cross multiply
    6,467,250x = 14,082,678 × 14,082,678
  4. Step 4: Simplify right side
    6,467,250x = 198,321,819,651,684
  5. Step 5: Solve for x
    x = 198,321,819,651,684/6,467,250
  6. Step 6: Final answer
    x = 30,665,556.40

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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.