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Finding the Third Proportional to 5,671,198 and 12,444,640

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Solution

The third proportional to 5,671,198 and 12,444,640 is: 27,307,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,198 : 12,444,640 = 12,444,640 : x
  2. Step 2: Convert to fraction form
    5,671,198/12,444,640 = 12,444,640/x
  3. Step 3: Cross multiply
    5,671,198x = 12,444,640 × 12,444,640
  4. Step 4: Simplify right side
    5,671,198x = 154,869,064,729,600
  5. Step 5: Solve for x
    x = 154,869,064,729,600/5,671,198
  6. Step 6: Final answer
    x = 27,307,998.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.