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Finding the Third Proportional to 37,855,359.50 and 82,353,732

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Solution

The third proportional to 37,855,359.50 and 82,353,732 is: 179,159,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,855,359.50 : 82,353,732 = 82,353,732 : x
  2. Step 2: Convert to fraction form
    37,855,359.50/82,353,732 = 82,353,732/x
  3. Step 3: Cross multiply
    37,855,359.50x = 82,353,732 × 82,353,732
  4. Step 4: Simplify right side
    37,855,359.50x = 6,782,137,174,327,824
  5. Step 5: Solve for x
    x = 6,782,137,174,327,824/37,855,359.50
  6. Step 6: Final answer
    x = 179,159,233.04

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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.