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Finding the Third Proportional to 5,601,183 and 12,215,982

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Solution

The third proportional to 5,601,183 and 12,215,982 is: 26,642,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601,183 : 12,215,982 = 12,215,982 : x
  2. Step 2: Convert to fraction form
    5,601,183/12,215,982 = 12,215,982/x
  3. Step 3: Cross multiply
    5,601,183x = 12,215,982 × 12,215,982
  4. Step 4: Simplify right side
    5,601,183x = 149,230,216,224,324
  5. Step 5: Solve for x
    x = 149,230,216,224,324/5,601,183
  6. Step 6: Final answer
    x = 26,642,624.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.