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Finding the Third Proportional to 10,937,198 and 23,933,821

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Solution

The third proportional to 10,937,198 and 23,933,821 is: 52,374,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937,198 : 23,933,821 = 23,933,821 : x
  2. Step 2: Convert to fraction form
    10,937,198/23,933,821 = 23,933,821/x
  3. Step 3: Cross multiply
    10,937,198x = 23,933,821 × 23,933,821
  4. Step 4: Simplify right side
    10,937,198x = 572,827,787,660,041
  5. Step 5: Solve for x
    x = 572,827,787,660,041/10,937,198
  6. Step 6: Final answer
    x = 52,374,272.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.