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Finding the Third Proportional to 6,275,512 and 13,701,880

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Solution

The third proportional to 6,275,512 and 13,701,880 is: 29,916,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275,512 : 13,701,880 = 13,701,880 : x
  2. Step 2: Convert to fraction form
    6,275,512/13,701,880 = 13,701,880/x
  3. Step 3: Cross multiply
    6,275,512x = 13,701,880 × 13,701,880
  4. Step 4: Simplify right side
    6,275,512x = 187,741,515,534,400
  5. Step 5: Solve for x
    x = 187,741,515,534,400/6,275,512
  6. Step 6: Final answer
    x = 29,916,525.62

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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.