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Finding the Third Proportional to 11,632,898 and 17,764,275

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Solution

The third proportional to 11,632,898 and 17,764,275 is: 27,127,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632,898 : 17,764,275 = 17,764,275 : x
  2. Step 2: Convert to fraction form
    11,632,898/17,764,275 = 17,764,275/x
  3. Step 3: Cross multiply
    11,632,898x = 17,764,275 × 17,764,275
  4. Step 4: Simplify right side
    11,632,898x = 315,569,466,275,625
  5. Step 5: Solve for x
    x = 315,569,466,275,625/11,632,898
  6. Step 6: Final answer
    x = 27,127,330.29

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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.