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Finding the Third Proportional to 5,296,363 and 11,228,288

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Solution

The third proportional to 5,296,363 and 11,228,288 is: 23,803,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,363 : 11,228,288 = 11,228,288 : x
  2. Step 2: Convert to fraction form
    5,296,363/11,228,288 = 11,228,288/x
  3. Step 3: Cross multiply
    5,296,363x = 11,228,288 × 11,228,288
  4. Step 4: Simplify right side
    5,296,363x = 126,074,451,410,944
  5. Step 5: Solve for x
    x = 126,074,451,410,944/5,296,363
  6. Step 6: Final answer
    x = 23,803,967.25

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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.