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Finding the Third Proportional to 31,073,535 and 47,042,163

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Solution

The third proportional to 31,073,535 and 47,042,163 is: 71,217,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073,535 : 47,042,163 = 47,042,163 : x
  2. Step 2: Convert to fraction form
    31,073,535/47,042,163 = 47,042,163/x
  3. Step 3: Cross multiply
    31,073,535x = 47,042,163 × 47,042,163
  4. Step 4: Simplify right side
    31,073,535x = 2,212,965,099,718,569
  5. Step 5: Solve for x
    x = 2,212,965,099,718,569/31,073,535
  6. Step 6: Final answer
    x = 71,217,037.25

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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.