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Finding the Third Proportional to 5,644,213.50 and 8,519,227.50

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Solution

The third proportional to 5,644,213.50 and 8,519,227.50 is: 12,858,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644,213.50 : 8,519,227.50 = 8,519,227.50 : x
  2. Step 2: Convert to fraction form
    5,644,213.50/8,519,227.50 = 8,519,227.50/x
  3. Step 3: Cross multiply
    5,644,213.50x = 8,519,227.50 × 8,519,227.50
  4. Step 4: Simplify right side
    5,644,213.50x = 72,577,237,196,756.25
  5. Step 5: Solve for x
    x = 72,577,237,196,756.25/5,644,213.50
  6. Step 6: Final answer
    x = 12,858,698.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.