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Finding the Third Proportional to 10,297,559.25 and 22,189,860

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Solution

The third proportional to 10,297,559.25 and 22,189,860 is: 47,816,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297,559.25 : 22,189,860 = 22,189,860 : x
  2. Step 2: Convert to fraction form
    10,297,559.25/22,189,860 = 22,189,860/x
  3. Step 3: Cross multiply
    10,297,559.25x = 22,189,860 × 22,189,860
  4. Step 4: Simplify right side
    10,297,559.25x = 492,389,886,819,600
  5. Step 5: Solve for x
    x = 492,389,886,819,600/10,297,559.25
  6. Step 6: Final answer
    x = 47,816,174.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.