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Finding the Third Proportional to 5,451,535.50 and 8,553,040.50

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Solution

The third proportional to 5,451,535.50 and 8,553,040.50 is: 13,419,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451,535.50 : 8,553,040.50 = 8,553,040.50 : x
  2. Step 2: Convert to fraction form
    5,451,535.50/8,553,040.50 = 8,553,040.50/x
  3. Step 3: Cross multiply
    5,451,535.50x = 8,553,040.50 × 8,553,040.50
  4. Step 4: Simplify right side
    5,451,535.50x = 73,154,501,794,640.25
  5. Step 5: Solve for x
    x = 73,154,501,794,640.25/5,451,535.50
  6. Step 6: Final answer
    x = 13,419,063.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.