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Finding the Third Proportional to 11,902,217 and 16,760,944

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Solution

The third proportional to 11,902,217 and 16,760,944 is: 23,603,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902,217 : 16,760,944 = 16,760,944 : x
  2. Step 2: Convert to fraction form
    11,902,217/16,760,944 = 16,760,944/x
  3. Step 3: Cross multiply
    11,902,217x = 16,760,944 × 16,760,944
  4. Step 4: Simplify right side
    11,902,217x = 280,929,243,771,136
  5. Step 5: Solve for x
    x = 280,929,243,771,136/11,902,217
  6. Step 6: Final answer
    x = 23,603,102.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.