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Finding the Third Proportional to 5,952,224.25 and 8,905,187.25

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Solution

The third proportional to 5,952,224.25 and 8,905,187.25 is: 13,323,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952,224.25 : 8,905,187.25 = 8,905,187.25 : x
  2. Step 2: Convert to fraction form
    5,952,224.25/8,905,187.25 = 8,905,187.25/x
  3. Step 3: Cross multiply
    5,952,224.25x = 8,905,187.25 × 8,905,187.25
  4. Step 4: Simplify right side
    5,952,224.25x = 79,302,359,957,562.56
  5. Step 5: Solve for x
    x = 79,302,359,957,562.56/5,952,224.25
  6. Step 6: Final answer
    x = 13,323,147.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.