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Finding the Third Proportional to 3,737,704.50 and 5,764,294.13

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Solution

The third proportional to 3,737,704.50 and 5,764,294.13 is: 8,889,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737,704.50 : 5,764,294.13 = 5,764,294.13 : x
  2. Step 2: Convert to fraction form
    3,737,704.50/5,764,294.13 = 5,764,294.13/x
  3. Step 3: Cross multiply
    3,737,704.50x = 5,764,294.13 × 5,764,294.13
  4. Step 4: Simplify right side
    3,737,704.50x = 33,227,086,759,509.52
  5. Step 5: Solve for x
    x = 33,227,086,759,509.52/3,737,704.50
  6. Step 6: Final answer
    x = 8,889,704.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.