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Finding the Third Proportional to 9,140,514 and 18,600,251

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Solution

The third proportional to 9,140,514 and 18,600,251 is: 37,850,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140,514 : 18,600,251 = 18,600,251 : x
  2. Step 2: Convert to fraction form
    9,140,514/18,600,251 = 18,600,251/x
  3. Step 3: Cross multiply
    9,140,514x = 18,600,251 × 18,600,251
  4. Step 4: Simplify right side
    9,140,514x = 345,969,337,263,001
  5. Step 5: Solve for x
    x = 345,969,337,263,001/9,140,514
  6. Step 6: Final answer
    x = 37,850,096.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.