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Finding the Third Proportional to 13,275,776 and 20,503,244

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Solution

The third proportional to 13,275,776 and 20,503,244 is: 31,665,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275,776 : 20,503,244 = 20,503,244 : x
  2. Step 2: Convert to fraction form
    13,275,776/20,503,244 = 20,503,244/x
  3. Step 3: Cross multiply
    13,275,776x = 20,503,244 × 20,503,244
  4. Step 4: Simplify right side
    13,275,776x = 420,383,014,523,536
  5. Step 5: Solve for x
    x = 420,383,014,523,536/13,275,776
  6. Step 6: Final answer
    x = 31,665,419.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.