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Finding the Third Proportional to 13,275,780 and 20,503,251

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Solution

The third proportional to 13,275,780 and 20,503,251 is: 31,665,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275,780 : 20,503,251 = 20,503,251 : x
  2. Step 2: Convert to fraction form
    13,275,780/20,503,251 = 20,503,251/x
  3. Step 3: Cross multiply
    13,275,780x = 20,503,251 × 20,503,251
  4. Step 4: Simplify right side
    13,275,780x = 420,383,301,569,001
  5. Step 5: Solve for x
    x = 420,383,301,569,001/13,275,780
  6. Step 6: Final answer
    x = 31,665,431.45

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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.