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Finding the Third Proportional to 7,842,163.50 and 17,193,519

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Solution

The third proportional to 7,842,163.50 and 17,193,519 is: 37,695,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842,163.50 : 17,193,519 = 17,193,519 : x
  2. Step 2: Convert to fraction form
    7,842,163.50/17,193,519 = 17,193,519/x
  3. Step 3: Cross multiply
    7,842,163.50x = 17,193,519 × 17,193,519
  4. Step 4: Simplify right side
    7,842,163.50x = 295,617,095,603,361
  5. Step 5: Solve for x
    x = 295,617,095,603,361/7,842,163.50
  6. Step 6: Final answer
    x = 37,695,859.77

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Why These Related Problems?

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