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Finding the Third Proportional to 3,005,136 and 6,682,176

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Solution

The third proportional to 3,005,136 and 6,682,176 is: 14,858,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005,136 : 6,682,176 = 6,682,176 : x
  2. Step 2: Convert to fraction form
    3,005,136/6,682,176 = 6,682,176/x
  3. Step 3: Cross multiply
    3,005,136x = 6,682,176 × 6,682,176
  4. Step 4: Simplify right side
    3,005,136x = 44,651,476,094,976
  5. Step 5: Solve for x
    x = 44,651,476,094,976/3,005,136
  6. Step 6: Final answer
    x = 14,858,387.81

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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.