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Finding the Third Proportional to 3,279,609 and 6,769,291.50

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Solution

The third proportional to 3,279,609 and 6,769,291.50 is: 13,972,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279,609 : 6,769,291.50 = 6,769,291.50 : x
  2. Step 2: Convert to fraction form
    3,279,609/6,769,291.50 = 6,769,291.50/x
  3. Step 3: Cross multiply
    3,279,609x = 6,769,291.50 × 6,769,291.50
  4. Step 4: Simplify right side
    3,279,609x = 45,823,307,411,972.25
  5. Step 5: Solve for x
    x = 45,823,307,411,972.25/3,279,609
  6. Step 6: Final answer
    x = 13,972,186.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.