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Finding the Third Proportional to 6,467,868 and 14,083,200

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Solution

The third proportional to 6,467,868 and 14,083,200 is: 30,664,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,868 : 14,083,200 = 14,083,200 : x
  2. Step 2: Convert to fraction form
    6,467,868/14,083,200 = 14,083,200/x
  3. Step 3: Cross multiply
    6,467,868x = 14,083,200 × 14,083,200
  4. Step 4: Simplify right side
    6,467,868x = 198,336,522,240,000
  5. Step 5: Solve for x
    x = 198,336,522,240,000/6,467,868
  6. Step 6: Final answer
    x = 30,664,899.51

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Why These Related Problems?

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