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Finding the Third Proportional to 2,300,372.44 and 4,838,717.53

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Solution

The third proportional to 2,300,372.44 and 4,838,717.53 is: 10,177,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,372.44 : 4,838,717.53 = 4,838,717.53 : x
  2. Step 2: Convert to fraction form
    2,300,372.44/4,838,717.53 = 4,838,717.53/x
  3. Step 3: Cross multiply
    2,300,372.44x = 4,838,717.53 × 4,838,717.53
  4. Step 4: Simplify right side
    2,300,372.44x = 23,413,187,347,226.09
  5. Step 5: Solve for x
    x = 23,413,187,347,226.09/2,300,372.44
  6. Step 6: Final answer
    x = 10,177,998.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.