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Finding the Third Proportional to 2,414,153 and 5,243,494

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Solution

The third proportional to 2,414,153 and 5,243,494 is: 11,388,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,153 : 5,243,494 = 5,243,494 : x
  2. Step 2: Convert to fraction form
    2,414,153/5,243,494 = 5,243,494/x
  3. Step 3: Cross multiply
    2,414,153x = 5,243,494 × 5,243,494
  4. Step 4: Simplify right side
    2,414,153x = 27,494,229,328,036
  5. Step 5: Solve for x
    x = 27,494,229,328,036/2,414,153
  6. Step 6: Final answer
    x = 11,388,768.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.