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Finding the Third Proportional to 8,241,333.61 and 17,947,205.44

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Solution

The third proportional to 8,241,333.61 and 17,947,205.44 is: 39,083,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241,333.61 : 17,947,205.44 = 17,947,205.44 : x
  2. Step 2: Convert to fraction form
    8,241,333.61/17,947,205.44 = 17,947,205.44/x
  3. Step 3: Cross multiply
    8,241,333.61x = 17,947,205.44 × 17,947,205.44
  4. Step 4: Simplify right side
    8,241,333.61x = 322,102,183,015,829.56
  5. Step 5: Solve for x
    x = 322,102,183,015,829.56/8,241,333.61
  6. Step 6: Final answer
    x = 39,083,745.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.