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Finding the Third Proportional to 6,378,924 and 13,643,016

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Solution

The third proportional to 6,378,924 and 13,643,016 is: 29,179,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,924 : 13,643,016 = 13,643,016 : x
  2. Step 2: Convert to fraction form
    6,378,924/13,643,016 = 13,643,016/x
  3. Step 3: Cross multiply
    6,378,924x = 13,643,016 × 13,643,016
  4. Step 4: Simplify right side
    6,378,924x = 186,131,885,576,256
  5. Step 5: Solve for x
    x = 186,131,885,576,256/6,378,924
  6. Step 6: Final answer
    x = 29,179,197.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.