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Finding the Third Proportional to 5,871,328 and 8,268,164

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Solution

The third proportional to 5,871,328 and 8,268,164 is: 11,643,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871,328 : 8,268,164 = 8,268,164 : x
  2. Step 2: Convert to fraction form
    5,871,328/8,268,164 = 8,268,164/x
  3. Step 3: Cross multiply
    5,871,328x = 8,268,164 × 8,268,164
  4. Step 4: Simplify right side
    5,871,328x = 68,362,535,930,896
  5. Step 5: Solve for x
    x = 68,362,535,930,896/5,871,328
  6. Step 6: Final answer
    x = 11,643,453.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.