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Finding the Third Proportional to 9,323,025 and 20,496,180

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Solution

The third proportional to 9,323,025 and 20,496,180 is: 45,059,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323,025 : 20,496,180 = 20,496,180 : x
  2. Step 2: Convert to fraction form
    9,323,025/20,496,180 = 20,496,180/x
  3. Step 3: Cross multiply
    9,323,025x = 20,496,180 × 20,496,180
  4. Step 4: Simplify right side
    9,323,025x = 420,093,394,592,400
  5. Step 5: Solve for x
    x = 420,093,394,592,400/9,323,025
  6. Step 6: Final answer
    x = 45,059,773.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.