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Finding the Third Proportional to 37,752,230 and 82,707,462

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Solution

The third proportional to 37,752,230 and 82,707,462 is: 181,195,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752,230 : 82,707,462 = 82,707,462 : x
  2. Step 2: Convert to fraction form
    37,752,230/82,707,462 = 82,707,462/x
  3. Step 3: Cross multiply
    37,752,230x = 82,707,462 × 82,707,462
  4. Step 4: Simplify right side
    37,752,230x = 6,840,524,270,481,444
  5. Step 5: Solve for x
    x = 6,840,524,270,481,444/37,752,230
  6. Step 6: Final answer
    x = 181,195,237.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.