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Finding the Third Proportional to 2,993,091.75 and 6,785,213.06

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Solution

The third proportional to 2,993,091.75 and 6,785,213.06 is: 15,381,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993,091.75 : 6,785,213.06 = 6,785,213.06 : x
  2. Step 2: Convert to fraction form
    2,993,091.75/6,785,213.06 = 6,785,213.06/x
  3. Step 3: Cross multiply
    2,993,091.75x = 6,785,213.06 × 6,785,213.06
  4. Step 4: Simplify right side
    2,993,091.75x = 46,039,116,303,520.62
  5. Step 5: Solve for x
    x = 46,039,116,303,520.62/2,993,091.75
  6. Step 6: Final answer
    x = 15,381,792.52

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.