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Finding the Third Proportional to 31,074,940 and 47,043,990

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Solution

The third proportional to 31,074,940 and 47,043,990 is: 71,219,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074,940 : 47,043,990 = 47,043,990 : x
  2. Step 2: Convert to fraction form
    31,074,940/47,043,990 = 47,043,990/x
  3. Step 3: Cross multiply
    31,074,940x = 47,043,990 × 47,043,990
  4. Step 4: Simplify right side
    31,074,940x = 2,213,136,995,120,100
  5. Step 5: Solve for x
    x = 2,213,136,995,120,100/31,074,940
  6. Step 6: Final answer
    x = 71,219,348.94

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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.