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Finding the Third Proportional to 9,181,462.50 and 20,108,146.50

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Solution

The third proportional to 9,181,462.50 and 20,108,146.50 is: 44,038,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181,462.50 : 20,108,146.50 = 20,108,146.50 : x
  2. Step 2: Convert to fraction form
    9,181,462.50/20,108,146.50 = 20,108,146.50/x
  3. Step 3: Cross multiply
    9,181,462.50x = 20,108,146.50 × 20,108,146.50
  4. Step 4: Simplify right side
    9,181,462.50x = 404,337,555,665,462.25
  5. Step 5: Solve for x
    x = 404,337,555,665,462.25/9,181,462.50
  6. Step 6: Final answer
    x = 44,038,469.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.