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Finding the Third Proportional to 5,240,305.50 and 11,322,057

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Solution

The third proportional to 5,240,305.50 and 11,322,057 is: 24,462,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240,305.50 : 11,322,057 = 11,322,057 : x
  2. Step 2: Convert to fraction form
    5,240,305.50/11,322,057 = 11,322,057/x
  3. Step 3: Cross multiply
    5,240,305.50x = 11,322,057 × 11,322,057
  4. Step 4: Simplify right side
    5,240,305.50x = 128,188,974,711,249
  5. Step 5: Solve for x
    x = 128,188,974,711,249/5,240,305.50
  6. Step 6: Final answer
    x = 24,462,118.61

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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.