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Finding the Third Proportional to 10,751,110 and 23,213,821

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Solution

The third proportional to 10,751,110 and 23,213,821 is: 50,123,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751,110 : 23,213,821 = 23,213,821 : x
  2. Step 2: Convert to fraction form
    10,751,110/23,213,821 = 23,213,821/x
  3. Step 3: Cross multiply
    10,751,110x = 23,213,821 × 23,213,821
  4. Step 4: Simplify right side
    10,751,110x = 538,881,485,420,041
  5. Step 5: Solve for x
    x = 538,881,485,420,041/10,751,110
  6. Step 6: Final answer
    x = 50,123,334.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.