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Finding the Third Proportional to 6,338,174 and 13,661,954

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Solution

The third proportional to 6,338,174 and 13,661,954 is: 29,448,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338,174 : 13,661,954 = 13,661,954 : x
  2. Step 2: Convert to fraction form
    6,338,174/13,661,954 = 13,661,954/x
  3. Step 3: Cross multiply
    6,338,174x = 13,661,954 × 13,661,954
  4. Step 4: Simplify right side
    6,338,174x = 186,648,987,098,116
  5. Step 5: Solve for x
    x = 186,648,987,098,116/6,338,174
  6. Step 6: Final answer
    x = 29,448,384.83

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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.