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Finding the Third Proportional to 5,211,025 and 11,319,107

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Solution

The third proportional to 5,211,025 and 11,319,107 is: 24,586,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211,025 : 11,319,107 = 11,319,107 : x
  2. Step 2: Convert to fraction form
    5,211,025/11,319,107 = 11,319,107/x
  3. Step 3: Cross multiply
    5,211,025x = 11,319,107 × 11,319,107
  4. Step 4: Simplify right side
    5,211,025x = 128,122,183,277,449
  5. Step 5: Solve for x
    x = 128,122,183,277,449/5,211,025
  6. Step 6: Final answer
    x = 24,586,752.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.