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Finding the Third Proportional to 3,005,142 and 6,682,188

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Solution

The third proportional to 3,005,142 and 6,682,188 is: 14,858,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005,142 : 6,682,188 = 6,682,188 : x
  2. Step 2: Convert to fraction form
    3,005,142/6,682,188 = 6,682,188/x
  3. Step 3: Cross multiply
    3,005,142x = 6,682,188 × 6,682,188
  4. Step 4: Simplify right side
    3,005,142x = 44,651,636,467,344
  5. Step 5: Solve for x
    x = 44,651,636,467,344/3,005,142
  6. Step 6: Final answer
    x = 14,858,411.51

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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.