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Finding the Third Proportional to 31,552,067 and 47,202,340

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Solution

The third proportional to 31,552,067 and 47,202,340 is: 70,615,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552,067 : 47,202,340 = 47,202,340 : x
  2. Step 2: Convert to fraction form
    31,552,067/47,202,340 = 47,202,340/x
  3. Step 3: Cross multiply
    31,552,067x = 47,202,340 × 47,202,340
  4. Step 4: Simplify right side
    31,552,067x = 2,228,060,901,475,600
  5. Step 5: Solve for x
    x = 2,228,060,901,475,600/31,552,067
  6. Step 6: Final answer
    x = 70,615,370.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.