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Finding the Third Proportional to 6,280,767 and 13,800,177

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Solution

The third proportional to 6,280,767 and 13,800,177 is: 30,321,915.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280,767 : 13,800,177 = 13,800,177 : x
  2. Step 2: Convert to fraction form
    6,280,767/13,800,177 = 13,800,177/x
  3. Step 3: Cross multiply
    6,280,767x = 13,800,177 × 13,800,177
  4. Step 4: Simplify right side
    6,280,767x = 190,444,885,231,329
  5. Step 5: Solve for x
    x = 190,444,885,231,329/6,280,767
  6. Step 6: Final answer
    x = 30,321,915.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.