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Finding the Third Proportional to 6,441,171 and 13,891,188

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Solution

The third proportional to 6,441,171 and 13,891,188 is: 29,958,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,171 : 13,891,188 = 13,891,188 : x
  2. Step 2: Convert to fraction form
    6,441,171/13,891,188 = 13,891,188/x
  3. Step 3: Cross multiply
    6,441,171x = 13,891,188 × 13,891,188
  4. Step 4: Simplify right side
    6,441,171x = 192,965,104,051,344
  5. Step 5: Solve for x
    x = 192,965,104,051,344/6,441,171
  6. Step 6: Final answer
    x = 29,958,078.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.