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Finding the Third Proportional to 3,840,408 and 8,296,944

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Solution

The third proportional to 3,840,408 and 8,296,944 is: 17,924,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840,408 : 8,296,944 = 8,296,944 : x
  2. Step 2: Convert to fraction form
    3,840,408/8,296,944 = 8,296,944/x
  3. Step 3: Cross multiply
    3,840,408x = 8,296,944 × 8,296,944
  4. Step 4: Simplify right side
    3,840,408x = 68,839,279,739,136
  5. Step 5: Solve for x
    x = 68,839,279,739,136/3,840,408
  6. Step 6: Final answer
    x = 17,924,991.24

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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.