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Finding the Third Proportional to 8,344,024 and 17,327,536

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Solution

The third proportional to 8,344,024 and 17,327,536 is: 35,983,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344,024 : 17,327,536 = 17,327,536 : x
  2. Step 2: Convert to fraction form
    8,344,024/17,327,536 = 17,327,536/x
  3. Step 3: Cross multiply
    8,344,024x = 17,327,536 × 17,327,536
  4. Step 4: Simplify right side
    8,344,024x = 300,243,503,831,296
  5. Step 5: Solve for x
    x = 300,243,503,831,296/8,344,024
  6. Step 6: Final answer
    x = 35,983,058.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.