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Finding the Third Proportional to 9,022,096.50 and 19,452,633

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Solution

The third proportional to 9,022,096.50 and 19,452,633 is: 41,942,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022,096.50 : 19,452,633 = 19,452,633 : x
  2. Step 2: Convert to fraction form
    9,022,096.50/19,452,633 = 19,452,633/x
  3. Step 3: Cross multiply
    9,022,096.50x = 19,452,633 × 19,452,633
  4. Step 4: Simplify right side
    9,022,096.50x = 378,404,930,632,689
  5. Step 5: Solve for x
    x = 378,404,930,632,689/9,022,096.50
  6. Step 6: Final answer
    x = 41,942,017.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.