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Finding the Third Proportional to 5,759,190.75 and 12,315,540

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Solution

The third proportional to 5,759,190.75 and 12,315,540 is: 26,335,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759,190.75 : 12,315,540 = 12,315,540 : x
  2. Step 2: Convert to fraction form
    5,759,190.75/12,315,540 = 12,315,540/x
  3. Step 3: Cross multiply
    5,759,190.75x = 12,315,540 × 12,315,540
  4. Step 4: Simplify right side
    5,759,190.75x = 151,672,525,491,600
  5. Step 5: Solve for x
    x = 151,672,525,491,600/5,759,190.75
  6. Step 6: Final answer
    x = 26,335,735.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.