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Finding the Third Proportional to 6,311,795 and 13,804,571

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Solution

The third proportional to 6,311,795 and 13,804,571 is: 30,192,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311,795 : 13,804,571 = 13,804,571 : x
  2. Step 2: Convert to fraction form
    6,311,795/13,804,571 = 13,804,571/x
  3. Step 3: Cross multiply
    6,311,795x = 13,804,571 × 13,804,571
  4. Step 4: Simplify right side
    6,311,795x = 190,566,180,494,041
  5. Step 5: Solve for x
    x = 190,566,180,494,041/6,311,795
  6. Step 6: Final answer
    x = 30,192,073.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.