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Finding the Third Proportional to 4,622,035 and 10,306,249

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Solution

The third proportional to 4,622,035 and 10,306,249 is: 22,980,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622,035 : 10,306,249 = 10,306,249 : x
  2. Step 2: Convert to fraction form
    4,622,035/10,306,249 = 10,306,249/x
  3. Step 3: Cross multiply
    4,622,035x = 10,306,249 × 10,306,249
  4. Step 4: Simplify right side
    4,622,035x = 106,218,768,450,001
  5. Step 5: Solve for x
    x = 106,218,768,450,001/4,622,035
  6. Step 6: Final answer
    x = 22,980,952.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.