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Finding the Third Proportional to 8,351,234.16 and 17,466,042.66

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Solution

The third proportional to 8,351,234.16 and 17,466,042.66 is: 36,529,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351,234.16 : 17,466,042.66 = 17,466,042.66 : x
  2. Step 2: Convert to fraction form
    8,351,234.16/17,466,042.66 = 17,466,042.66/x
  3. Step 3: Cross multiply
    8,351,234.16x = 17,466,042.66 × 17,466,042.66
  4. Step 4: Simplify right side
    8,351,234.16x = 305,062,646,069,944.56
  5. Step 5: Solve for x
    x = 305,062,646,069,944.56/8,351,234.16
  6. Step 6: Final answer
    x = 36,529,049.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.