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Finding the Third Proportional to 6,378,920 and 13,643,008

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Solution

The third proportional to 6,378,920 and 13,643,008 is: 29,179,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,920 : 13,643,008 = 13,643,008 : x
  2. Step 2: Convert to fraction form
    6,378,920/13,643,008 = 13,643,008/x
  3. Step 3: Cross multiply
    6,378,920x = 13,643,008 × 13,643,008
  4. Step 4: Simplify right side
    6,378,920x = 186,131,667,288,064
  5. Step 5: Solve for x
    x = 186,131,667,288,064/6,378,920
  6. Step 6: Final answer
    x = 29,179,181.94

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