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Finding the Third Proportional to 11,383,848 and 16,649,712

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Solution

The third proportional to 11,383,848 and 16,649,712 is: 24,351,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383,848 : 16,649,712 = 16,649,712 : x
  2. Step 2: Convert to fraction form
    11,383,848/16,649,712 = 16,649,712/x
  3. Step 3: Cross multiply
    11,383,848x = 16,649,712 × 16,649,712
  4. Step 4: Simplify right side
    11,383,848x = 277,212,909,682,944
  5. Step 5: Solve for x
    x = 277,212,909,682,944/11,383,848
  6. Step 6: Final answer
    x = 24,351,424.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.