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Finding the Third Proportional to 2,524,297.50 and 5,433,507

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Solution

The third proportional to 2,524,297.50 and 5,433,507 is: 11,695,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524,297.50 : 5,433,507 = 5,433,507 : x
  2. Step 2: Convert to fraction form
    2,524,297.50/5,433,507 = 5,433,507/x
  3. Step 3: Cross multiply
    2,524,297.50x = 5,433,507 × 5,433,507
  4. Step 4: Simplify right side
    2,524,297.50x = 29,522,998,319,049
  5. Step 5: Solve for x
    x = 29,522,998,319,049/2,524,297.50
  6. Step 6: Final answer
    x = 11,695,530.47

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Why These Related Problems?

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