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Finding the Third Proportional to 31,252,840.88 and 67,305,866.63

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Solution

The third proportional to 31,252,840.88 and 67,305,866.63 is: 144,949,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,252,840.88 : 67,305,866.63 = 67,305,866.63 : x
  2. Step 2: Convert to fraction form
    31,252,840.88/67,305,866.63 = 67,305,866.63/x
  3. Step 3: Cross multiply
    31,252,840.88x = 67,305,866.63 × 67,305,866.63
  4. Step 4: Simplify right side
    31,252,840.88x = 4,530,079,682,142,289
  5. Step 5: Solve for x
    x = 4,530,079,682,142,289/31,252,840.88
  6. Step 6: Final answer
    x = 144,949,372.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.