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Finding the Third Proportional to 3,378,869.44 and 6,997,266

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Solution

The third proportional to 3,378,869.44 and 6,997,266 is: 14,490,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378,869.44 : 6,997,266 = 6,997,266 : x
  2. Step 2: Convert to fraction form
    3,378,869.44/6,997,266 = 6,997,266/x
  3. Step 3: Cross multiply
    3,378,869.44x = 6,997,266 × 6,997,266
  4. Step 4: Simplify right side
    3,378,869.44x = 48,961,731,474,756
  5. Step 5: Solve for x
    x = 48,961,731,474,756/3,378,869.44
  6. Step 6: Final answer
    x = 14,490,566.26

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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.