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Finding the Third Proportional to 3,569,144.91 and 5,437,367.16

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Solution

The third proportional to 3,569,144.91 and 5,437,367.16 is: 8,283,485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569,144.91 : 5,437,367.16 = 5,437,367.16 : x
  2. Step 2: Convert to fraction form
    3,569,144.91/5,437,367.16 = 5,437,367.16/x
  3. Step 3: Cross multiply
    3,569,144.91x = 5,437,367.16 × 5,437,367.16
  4. Step 4: Simplify right side
    3,569,144.91x = 29,564,961,591,866.21
  5. Step 5: Solve for x
    x = 29,564,961,591,866.21/3,569,144.91
  6. Step 6: Final answer
    x = 8,283,485.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.