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Finding the Third Proportional to 6,198,044 and 13,493,906

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Solution

The third proportional to 6,198,044 and 13,493,906 is: 29,377,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198,044 : 13,493,906 = 13,493,906 : x
  2. Step 2: Convert to fraction form
    6,198,044/13,493,906 = 13,493,906/x
  3. Step 3: Cross multiply
    6,198,044x = 13,493,906 × 13,493,906
  4. Step 4: Simplify right side
    6,198,044x = 182,085,499,136,836
  5. Step 5: Solve for x
    x = 182,085,499,136,836/6,198,044
  6. Step 6: Final answer
    x = 29,377,897.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.