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Finding the Third Proportional to 6,309,821 and 13,725,189

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Solution

The third proportional to 6,309,821 and 13,725,189 is: 29,855,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,821 : 13,725,189 = 13,725,189 : x
  2. Step 2: Convert to fraction form
    6,309,821/13,725,189 = 13,725,189/x
  3. Step 3: Cross multiply
    6,309,821x = 13,725,189 × 13,725,189
  4. Step 4: Simplify right side
    6,309,821x = 188,380,813,085,721
  5. Step 5: Solve for x
    x = 188,380,813,085,721/6,309,821
  6. Step 6: Final answer
    x = 29,855,175.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.