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Finding the Third Proportional to 8,285,172 and 18,004,474.50

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Solution

The third proportional to 8,285,172 and 18,004,474.50 is: 39,125,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285,172 : 18,004,474.50 = 18,004,474.50 : x
  2. Step 2: Convert to fraction form
    8,285,172/18,004,474.50 = 18,004,474.50/x
  3. Step 3: Cross multiply
    8,285,172x = 18,004,474.50 × 18,004,474.50
  4. Step 4: Simplify right side
    8,285,172x = 324,161,102,021,150.25
  5. Step 5: Solve for x
    x = 324,161,102,021,150.25/8,285,172
  6. Step 6: Final answer
    x = 39,125,452.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.