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Finding the Third Proportional to 6,324,176 and 14,063,200

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Solution

The third proportional to 6,324,176 and 14,063,200 is: 31,272,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324,176 : 14,063,200 = 14,063,200 : x
  2. Step 2: Convert to fraction form
    6,324,176/14,063,200 = 14,063,200/x
  3. Step 3: Cross multiply
    6,324,176x = 14,063,200 × 14,063,200
  4. Step 4: Simplify right side
    6,324,176x = 197,773,594,240,000
  5. Step 5: Solve for x
    x = 197,773,594,240,000/6,324,176
  6. Step 6: Final answer
    x = 31,272,626.54

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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.