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Finding the Third Proportional to 11,923,864 and 25,864,136

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Solution

The third proportional to 11,923,864 and 25,864,136 is: 56,102,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923,864 : 25,864,136 = 25,864,136 : x
  2. Step 2: Convert to fraction form
    11,923,864/25,864,136 = 25,864,136/x
  3. Step 3: Cross multiply
    11,923,864x = 25,864,136 × 25,864,136
  4. Step 4: Simplify right side
    11,923,864x = 668,953,531,026,496
  5. Step 5: Solve for x
    x = 668,953,531,026,496/11,923,864
  6. Step 6: Final answer
    x = 56,102,076.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.