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Finding the Third Proportional to 5,691,277 and 8,323,963

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Solution

The third proportional to 5,691,277 and 8,323,963 is: 12,174,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691,277 : 8,323,963 = 8,323,963 : x
  2. Step 2: Convert to fraction form
    5,691,277/8,323,963 = 8,323,963/x
  3. Step 3: Cross multiply
    5,691,277x = 8,323,963 × 8,323,963
  4. Step 4: Simplify right side
    5,691,277x = 69,288,360,025,369
  5. Step 5: Solve for x
    x = 69,288,360,025,369/5,691,277
  6. Step 6: Final answer
    x = 12,174,483.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.