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Finding the Third Proportional to 3,006,013 and 6,682,796

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Solution

The third proportional to 3,006,013 and 6,682,796 is: 14,856,809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006,013 : 6,682,796 = 6,682,796 : x
  2. Step 2: Convert to fraction form
    3,006,013/6,682,796 = 6,682,796/x
  3. Step 3: Cross multiply
    3,006,013x = 6,682,796 × 6,682,796
  4. Step 4: Simplify right side
    3,006,013x = 44,659,762,377,616
  5. Step 5: Solve for x
    x = 44,659,762,377,616/3,006,013
  6. Step 6: Final answer
    x = 14,856,809.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.