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Finding the Third Proportional to 6,441,270 and 14,040,012

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Solution

The third proportional to 6,441,270 and 14,040,012 is: 30,602,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,270 : 14,040,012 = 14,040,012 : x
  2. Step 2: Convert to fraction form
    6,441,270/14,040,012 = 14,040,012/x
  3. Step 3: Cross multiply
    6,441,270x = 14,040,012 × 14,040,012
  4. Step 4: Simplify right side
    6,441,270x = 197,121,936,960,144
  5. Step 5: Solve for x
    x = 197,121,936,960,144/6,441,270
  6. Step 6: Final answer
    x = 30,602,961.37

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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.