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Finding the Third Proportional to 3,381,553.50 and 6,881,203.50

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Solution

The third proportional to 3,381,553.50 and 6,881,203.50 is: 14,002,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381,553.50 : 6,881,203.50 = 6,881,203.50 : x
  2. Step 2: Convert to fraction form
    3,381,553.50/6,881,203.50 = 6,881,203.50/x
  3. Step 3: Cross multiply
    3,381,553.50x = 6,881,203.50 × 6,881,203.50
  4. Step 4: Simplify right side
    3,381,553.50x = 47,350,961,608,412.25
  5. Step 5: Solve for x
    x = 47,350,961,608,412.25/3,381,553.50
  6. Step 6: Final answer
    x = 14,002,724.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.