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Finding the Third Proportional to 37,894,014.84 and 82,219,837.22

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Solution

The third proportional to 37,894,014.84 and 82,219,837.22 is: 178,394,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894,014.84 : 82,219,837.22 = 82,219,837.22 : x
  2. Step 2: Convert to fraction form
    37,894,014.84/82,219,837.22 = 82,219,837.22/x
  3. Step 3: Cross multiply
    37,894,014.84x = 82,219,837.22 × 82,219,837.22
  4. Step 4: Simplify right side
    37,894,014.84x = 6,760,101,632,278,076
  5. Step 5: Solve for x
    x = 6,760,101,632,278,076/37,894,014.84
  6. Step 6: Final answer
    x = 178,394,969.76

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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.