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Finding the Third Proportional to 8,427,847.50 and 18,496,137.38

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Solution

The third proportional to 8,427,847.50 and 18,496,137.38 is: 40,592,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427,847.50 : 18,496,137.38 = 18,496,137.38 : x
  2. Step 2: Convert to fraction form
    8,427,847.50/18,496,137.38 = 18,496,137.38/x
  3. Step 3: Cross multiply
    8,427,847.50x = 18,496,137.38 × 18,496,137.38
  4. Step 4: Simplify right side
    8,427,847.50x = 342,107,097,794,871.88
  5. Step 5: Solve for x
    x = 342,107,097,794,871.88/8,427,847.50
  6. Step 6: Final answer
    x = 40,592,464.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.