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Finding the Third Proportional to 4,631,902 and 10,206,152

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Solution

The third proportional to 4,631,902 and 10,206,152 is: 22,488,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,902 : 10,206,152 = 10,206,152 : x
  2. Step 2: Convert to fraction form
    4,631,902/10,206,152 = 10,206,152/x
  3. Step 3: Cross multiply
    4,631,902x = 10,206,152 × 10,206,152
  4. Step 4: Simplify right side
    4,631,902x = 104,165,538,647,104
  5. Step 5: Solve for x
    x = 104,165,538,647,104/4,631,902
  6. Step 6: Final answer
    x = 22,488,718.17

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Why These Related Problems?

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