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Finding the Third Proportional to 3,299,253.50 and 6,900,166

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Solution

The third proportional to 3,299,253.50 and 6,900,166 is: 14,431,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299,253.50 : 6,900,166 = 6,900,166 : x
  2. Step 2: Convert to fraction form
    3,299,253.50/6,900,166 = 6,900,166/x
  3. Step 3: Cross multiply
    3,299,253.50x = 6,900,166 × 6,900,166
  4. Step 4: Simplify right side
    3,299,253.50x = 47,612,290,827,556
  5. Step 5: Solve for x
    x = 47,612,290,827,556/3,299,253.50
  6. Step 6: Final answer
    x = 14,431,231.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.