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Finding the Third Proportional to 14,576,728.50 and 33,745,977

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Solution

The third proportional to 14,576,728.50 and 33,745,977 is: 78,123,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576,728.50 : 33,745,977 = 33,745,977 : x
  2. Step 2: Convert to fraction form
    14,576,728.50/33,745,977 = 33,745,977/x
  3. Step 3: Cross multiply
    14,576,728.50x = 33,745,977 × 33,745,977
  4. Step 4: Simplify right side
    14,576,728.50x = 1,138,790,963,684,529
  5. Step 5: Solve for x
    x = 1,138,790,963,684,529/14,576,728.50
  6. Step 6: Final answer
    x = 78,123,905.76

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.