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Finding the Third Proportional to 31,073,512 and 47,042,124

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Solution

The third proportional to 31,073,512 and 47,042,124 is: 71,216,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073,512 : 47,042,124 = 47,042,124 : x
  2. Step 2: Convert to fraction form
    31,073,512/47,042,124 = 47,042,124/x
  3. Step 3: Cross multiply
    31,073,512x = 47,042,124 × 47,042,124
  4. Step 4: Simplify right side
    31,073,512x = 2,212,961,430,431,376
  5. Step 5: Solve for x
    x = 2,212,961,430,431,376/31,073,512
  6. Step 6: Final answer
    x = 71,216,971.88

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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.