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Finding the Third Proportional to 4,631,678 and 10,055,596

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Solution

The third proportional to 4,631,678 and 10,055,596 is: 21,831,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,678 : 10,055,596 = 10,055,596 : x
  2. Step 2: Convert to fraction form
    4,631,678/10,055,596 = 10,055,596/x
  3. Step 3: Cross multiply
    4,631,678x = 10,055,596 × 10,055,596
  4. Step 4: Simplify right side
    4,631,678x = 101,115,010,915,216
  5. Step 5: Solve for x
    x = 101,115,010,915,216/4,631,678
  6. Step 6: Final answer
    x = 21,831,183.19

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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.