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Finding the Third Proportional to 11,966,400 and 25,614,144

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Solution

The third proportional to 11,966,400 and 25,614,144 is: 54,827,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966,400 : 25,614,144 = 25,614,144 : x
  2. Step 2: Convert to fraction form
    11,966,400/25,614,144 = 25,614,144/x
  3. Step 3: Cross multiply
    11,966,400x = 25,614,144 × 25,614,144
  4. Step 4: Simplify right side
    11,966,400x = 656,084,372,852,736
  5. Step 5: Solve for x
    x = 656,084,372,852,736/11,966,400
  6. Step 6: Final answer
    x = 54,827,213.94

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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.