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Finding the Third Proportional to 9,146,757 and 12,542,230

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Solution

The third proportional to 9,146,757 and 12,542,230 is: 17,198,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146,757 : 12,542,230 = 12,542,230 : x
  2. Step 2: Convert to fraction form
    9,146,757/12,542,230 = 12,542,230/x
  3. Step 3: Cross multiply
    9,146,757x = 12,542,230 × 12,542,230
  4. Step 4: Simplify right side
    9,146,757x = 157,307,533,372,900
  5. Step 5: Solve for x
    x = 157,307,533,372,900/9,146,757
  6. Step 6: Final answer
    x = 17,198,175.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.