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Finding the Third Proportional to 5,871,224.25 and 12,145,200.75

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Solution

The third proportional to 5,871,224.25 and 12,145,200.75 is: 25,123,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871,224.25 : 12,145,200.75 = 12,145,200.75 : x
  2. Step 2: Convert to fraction form
    5,871,224.25/12,145,200.75 = 12,145,200.75/x
  3. Step 3: Cross multiply
    5,871,224.25x = 12,145,200.75 × 12,145,200.75
  4. Step 4: Simplify right side
    5,871,224.25x = 147,505,901,257,800.56
  5. Step 5: Solve for x
    x = 147,505,901,257,800.56/5,871,224.25
  6. Step 6: Final answer
    x = 25,123,533.86

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.