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Finding the Third Proportional to 22,471,047 and 33,942,721.50

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Solution

The third proportional to 22,471,047 and 33,942,721.50 is: 51,270,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471,047 : 33,942,721.50 = 33,942,721.50 : x
  2. Step 2: Convert to fraction form
    22,471,047/33,942,721.50 = 33,942,721.50/x
  3. Step 3: Cross multiply
    22,471,047x = 33,942,721.50 × 33,942,721.50
  4. Step 4: Simplify right side
    22,471,047x = 1,152,108,342,826,562.25
  5. Step 5: Solve for x
    x = 1,152,108,342,826,562.25/22,471,047
  6. Step 6: Final answer
    x = 51,270,790.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.