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Finding the Third Proportional to 6,175,880 and 13,608,224

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Solution

The third proportional to 6,175,880 and 13,608,224 is: 29,984,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175,880 : 13,608,224 = 13,608,224 : x
  2. Step 2: Convert to fraction form
    6,175,880/13,608,224 = 13,608,224/x
  3. Step 3: Cross multiply
    6,175,880x = 13,608,224 × 13,608,224
  4. Step 4: Simplify right side
    6,175,880x = 185,183,760,434,176
  5. Step 5: Solve for x
    x = 185,183,760,434,176/6,175,880
  6. Step 6: Final answer
    x = 29,984,999.78

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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.