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Finding the Third Proportional to 5,296,384.13 and 11,228,446.13

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Solution

The third proportional to 5,296,384.13 and 11,228,446.13 is: 23,804,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,384.13 : 11,228,446.13 = 11,228,446.13 : x
  2. Step 2: Convert to fraction form
    5,296,384.13/11,228,446.13 = 11,228,446.13/x
  3. Step 3: Cross multiply
    5,296,384.13x = 11,228,446.13 × 11,228,446.13
  4. Step 4: Simplify right side
    5,296,384.13x = 126,078,002,382,027.52
  5. Step 5: Solve for x
    x = 126,078,002,382,027.52/5,296,384.13
  6. Step 6: Final answer
    x = 23,804,542.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.