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Finding the Third Proportional to 4,647,006 and 10,066,023

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Solution

The third proportional to 4,647,006 and 10,066,023 is: 21,804,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647,006 : 10,066,023 = 10,066,023 : x
  2. Step 2: Convert to fraction form
    4,647,006/10,066,023 = 10,066,023/x
  3. Step 3: Cross multiply
    4,647,006x = 10,066,023 × 10,066,023
  4. Step 4: Simplify right side
    4,647,006x = 101,324,819,036,529
  5. Step 5: Solve for x
    x = 101,324,819,036,529/4,647,006
  6. Step 6: Final answer
    x = 21,804,322.83

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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.