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Finding the Third Proportional to 6,467,219 and 14,082,614

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Solution

The third proportional to 6,467,219 and 14,082,614 is: 30,665,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,219 : 14,082,614 = 14,082,614 : x
  2. Step 2: Convert to fraction form
    6,467,219/14,082,614 = 14,082,614/x
  3. Step 3: Cross multiply
    6,467,219x = 14,082,614 × 14,082,614
  4. Step 4: Simplify right side
    6,467,219x = 198,320,017,072,996
  5. Step 5: Solve for x
    x = 198,320,017,072,996/6,467,219
  6. Step 6: Final answer
    x = 30,665,424.67

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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.