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Finding the Third Proportional to 4,675,513.50 and 6,994,449

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Solution

The third proportional to 4,675,513.50 and 6,994,449 is: 10,463,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675,513.50 : 6,994,449 = 6,994,449 : x
  2. Step 2: Convert to fraction form
    4,675,513.50/6,994,449 = 6,994,449/x
  3. Step 3: Cross multiply
    4,675,513.50x = 6,994,449 × 6,994,449
  4. Step 4: Simplify right side
    4,675,513.50x = 48,922,316,813,601
  5. Step 5: Solve for x
    x = 48,922,316,813,601/4,675,513.50
  6. Step 6: Final answer
    x = 10,463,517.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.