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Finding the Third Proportional to 37,855,362.75 and 82,353,738.75

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Solution

The third proportional to 37,855,362.75 and 82,353,738.75 is: 179,159,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,855,362.75 : 82,353,738.75 = 82,353,738.75 : x
  2. Step 2: Convert to fraction form
    37,855,362.75/82,353,738.75 = 82,353,738.75/x
  3. Step 3: Cross multiply
    37,855,362.75x = 82,353,738.75 × 82,353,738.75
  4. Step 4: Simplify right side
    37,855,362.75x = 6,782,138,286,103,252
  5. Step 5: Solve for x
    x = 6,782,138,286,103,252/37,855,362.75
  6. Step 6: Final answer
    x = 179,159,247.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.