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Finding the Third Proportional to 4,631,832 and 10,206,018

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Solution

The third proportional to 4,631,832 and 10,206,018 is: 22,488,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,832 : 10,206,018 = 10,206,018 : x
  2. Step 2: Convert to fraction form
    4,631,832/10,206,018 = 10,206,018/x
  3. Step 3: Cross multiply
    4,631,832x = 10,206,018 × 10,206,018
  4. Step 4: Simplify right side
    4,631,832x = 104,162,803,416,324
  5. Step 5: Solve for x
    x = 104,162,803,416,324/4,631,832
  6. Step 6: Final answer
    x = 22,488,467.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.