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Finding the Third Proportional to 3,743,377.50 and 7,664,083.50

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Solution

The third proportional to 3,743,377.50 and 7,664,083.50 is: 15,691,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,377.50 : 7,664,083.50 = 7,664,083.50 : x
  2. Step 2: Convert to fraction form
    3,743,377.50/7,664,083.50 = 7,664,083.50/x
  3. Step 3: Cross multiply
    3,743,377.50x = 7,664,083.50 × 7,664,083.50
  4. Step 4: Simplify right side
    3,743,377.50x = 58,738,175,894,972.25
  5. Step 5: Solve for x
    x = 58,738,175,894,972.25/3,743,377.50
  6. Step 6: Final answer
    x = 15,691,224.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.