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Finding the Third Proportional to 11,486,832 and 17,784,144

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Solution

The third proportional to 11,486,832 and 17,784,144 is: 27,533,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486,832 : 17,784,144 = 17,784,144 : x
  2. Step 2: Convert to fraction form
    11,486,832/17,784,144 = 17,784,144/x
  3. Step 3: Cross multiply
    11,486,832x = 17,784,144 × 17,784,144
  4. Step 4: Simplify right side
    11,486,832x = 316,275,777,812,736
  5. Step 5: Solve for x
    x = 316,275,777,812,736/11,486,832
  6. Step 6: Final answer
    x = 27,533,768.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.