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Finding the Third Proportional to 6,328,296 and 13,105,188

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Solution

The third proportional to 6,328,296 and 13,105,188 is: 27,139,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328,296 : 13,105,188 = 13,105,188 : x
  2. Step 2: Convert to fraction form
    6,328,296/13,105,188 = 13,105,188/x
  3. Step 3: Cross multiply
    6,328,296x = 13,105,188 × 13,105,188
  4. Step 4: Simplify right side
    6,328,296x = 171,745,952,515,344
  5. Step 5: Solve for x
    x = 171,745,952,515,344/6,328,296
  6. Step 6: Final answer
    x = 27,139,367.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.