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Finding the Third Proportional to 31,932,351 and 50,024,974.50

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Solution

The third proportional to 31,932,351 and 50,024,974.50 is: 78,368,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932,351 : 50,024,974.50 = 50,024,974.50 : x
  2. Step 2: Convert to fraction form
    31,932,351/50,024,974.50 = 50,024,974.50/x
  3. Step 3: Cross multiply
    31,932,351x = 50,024,974.50 × 50,024,974.50
  4. Step 4: Simplify right side
    31,932,351x = 2,502,498,073,725,650
  5. Step 5: Solve for x
    x = 2,502,498,073,725,650/31,932,351
  6. Step 6: Final answer
    x = 78,368,738.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.