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Finding the Third Proportional to 37,894,002 and 82,219,810.50

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Solution

The third proportional to 37,894,002 and 82,219,810.50 is: 178,394,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894,002 : 82,219,810.50 = 82,219,810.50 : x
  2. Step 2: Convert to fraction form
    37,894,002/82,219,810.50 = 82,219,810.50/x
  3. Step 3: Cross multiply
    37,894,002x = 82,219,810.50 × 82,219,810.50
  4. Step 4: Simplify right side
    37,894,002x = 6,760,097,238,655,910
  5. Step 5: Solve for x
    x = 6,760,097,238,655,910/37,894,002
  6. Step 6: Final answer
    x = 178,394,914.28

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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.