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Finding the Third Proportional to 6,378,966 and 13,643,098

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Solution

The third proportional to 6,378,966 and 13,643,098 is: 29,179,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,966 : 13,643,098 = 13,643,098 : x
  2. Step 2: Convert to fraction form
    6,378,966/13,643,098 = 13,643,098/x
  3. Step 3: Cross multiply
    6,378,966x = 13,643,098 × 13,643,098
  4. Step 4: Simplify right side
    6,378,966x = 186,134,123,037,604
  5. Step 5: Solve for x
    x = 186,134,123,037,604/6,378,966
  6. Step 6: Final answer
    x = 29,179,356.50

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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.