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Finding the Third Proportional to 13,226,024 and 20,231,723

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Solution

The third proportional to 13,226,024 and 20,231,723 is: 30,948,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226,024 : 20,231,723 = 20,231,723 : x
  2. Step 2: Convert to fraction form
    13,226,024/20,231,723 = 20,231,723/x
  3. Step 3: Cross multiply
    13,226,024x = 20,231,723 × 20,231,723
  4. Step 4: Simplify right side
    13,226,024x = 409,322,615,548,729
  5. Step 5: Solve for x
    x = 409,322,615,548,729/13,226,024
  6. Step 6: Final answer
    x = 30,948,274.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.