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Finding the Third Proportional to 6,378,972 and 13,643,112

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Solution

The third proportional to 6,378,972 and 13,643,112 is: 29,179,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,972 : 13,643,112 = 13,643,112 : x
  2. Step 2: Convert to fraction form
    6,378,972/13,643,112 = 13,643,112/x
  3. Step 3: Cross multiply
    6,378,972x = 13,643,112 × 13,643,112
  4. Step 4: Simplify right side
    6,378,972x = 186,134,505,044,544
  5. Step 5: Solve for x
    x = 186,134,505,044,544/6,378,972
  6. Step 6: Final answer
    x = 29,179,388.94

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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.