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Finding the Third Proportional to 10,778,277 and 16,279,317

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Solution

The third proportional to 10,778,277 and 16,279,317 is: 24,587,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778,277 : 16,279,317 = 16,279,317 : x
  2. Step 2: Convert to fraction form
    10,778,277/16,279,317 = 16,279,317/x
  3. Step 3: Cross multiply
    10,778,277x = 16,279,317 × 16,279,317
  4. Step 4: Simplify right side
    10,778,277x = 265,016,161,986,489
  5. Step 5: Solve for x
    x = 265,016,161,986,489/10,778,277
  6. Step 6: Final answer
    x = 24,587,989.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.