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Finding the Third Proportional to 3,588,149.25 and 7,674,205.50

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Solution

The third proportional to 3,588,149.25 and 7,674,205.50 is: 16,413,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588,149.25 : 7,674,205.50 = 7,674,205.50 : x
  2. Step 2: Convert to fraction form
    3,588,149.25/7,674,205.50 = 7,674,205.50/x
  3. Step 3: Cross multiply
    3,588,149.25x = 7,674,205.50 × 7,674,205.50
  4. Step 4: Simplify right side
    3,588,149.25x = 58,893,430,056,230.25
  5. Step 5: Solve for x
    x = 58,893,430,056,230.25/3,588,149.25
  6. Step 6: Final answer
    x = 16,413,316.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.