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Finding the Third Proportional to 9,876,013 and 23,789,846.50

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Solution

The third proportional to 9,876,013 and 23,789,846.50 is: 57,306,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876,013 : 23,789,846.50 = 23,789,846.50 : x
  2. Step 2: Convert to fraction form
    9,876,013/23,789,846.50 = 23,789,846.50/x
  3. Step 3: Cross multiply
    9,876,013x = 23,789,846.50 × 23,789,846.50
  4. Step 4: Simplify right side
    9,876,013x = 565,956,796,493,562.25
  5. Step 5: Solve for x
    x = 565,956,796,493,562.25/9,876,013
  6. Step 6: Final answer
    x = 57,306,202.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.