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Finding the Third Proportional to 34,211,839.50 and 74,446,672.50

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Solution

The third proportional to 34,211,839.50 and 74,446,672.50 is: 161,999,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211,839.50 : 74,446,672.50 = 74,446,672.50 : x
  2. Step 2: Convert to fraction form
    34,211,839.50/74,446,672.50 = 74,446,672.50/x
  3. Step 3: Cross multiply
    34,211,839.50x = 74,446,672.50 × 74,446,672.50
  4. Step 4: Simplify right side
    34,211,839.50x = 5,542,307,046,322,256
  5. Step 5: Solve for x
    x = 5,542,307,046,322,256/34,211,839.50
  6. Step 6: Final answer
    x = 161,999,679.86

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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.