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Finding the Third Proportional to 11,632,968 and 17,764,380

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Solution

The third proportional to 11,632,968 and 17,764,380 is: 27,127,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632,968 : 17,764,380 = 17,764,380 : x
  2. Step 2: Convert to fraction form
    11,632,968/17,764,380 = 17,764,380/x
  3. Step 3: Cross multiply
    11,632,968x = 17,764,380 × 17,764,380
  4. Step 4: Simplify right side
    11,632,968x = 315,573,196,784,400
  5. Step 5: Solve for x
    x = 315,573,196,784,400/11,632,968
  6. Step 6: Final answer
    x = 27,127,487.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.