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Finding the Third Proportional to 272,431,512 and 605,329,104

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Solution

The third proportional to 272,431,512 and 605,329,104 is: 1,345,010,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,431,512 : 605,329,104 = 605,329,104 : x
  2. Step 2: Convert to fraction form
    272,431,512/605,329,104 = 605,329,104/x
  3. Step 3: Cross multiply
    272,431,512x = 605,329,104 × 605,329,104
  4. Step 4: Simplify right side
    272,431,512x = 366,423,324,149,442,816
  5. Step 5: Solve for x
    x = 366,423,324,149,442,816/272,431,512
  6. Step 6: Final answer
    x = 1,345,010,793.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.