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Finding the Third Proportional to 5,675,838 and 8,505,433.50

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Solution

The third proportional to 5,675,838 and 8,505,433.50 is: 12,745,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,838 : 8,505,433.50 = 8,505,433.50 : x
  2. Step 2: Convert to fraction form
    5,675,838/8,505,433.50 = 8,505,433.50/x
  3. Step 3: Cross multiply
    5,675,838x = 8,505,433.50 × 8,505,433.50
  4. Step 4: Simplify right side
    5,675,838x = 72,342,399,022,922.25
  5. Step 5: Solve for x
    x = 72,342,399,022,922.25/5,675,838
  6. Step 6: Final answer
    x = 12,745,677.21

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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.