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Finding the Third Proportional to 31,933,076 and 50,035,935

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Solution

The third proportional to 31,933,076 and 50,035,935 is: 78,401,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,933,076 : 50,035,935 = 50,035,935 : x
  2. Step 2: Convert to fraction form
    31,933,076/50,035,935 = 50,035,935/x
  3. Step 3: Cross multiply
    31,933,076x = 50,035,935 × 50,035,935
  4. Step 4: Simplify right side
    31,933,076x = 2,503,594,791,324,225
  5. Step 5: Solve for x
    x = 2,503,594,791,324,225/31,933,076
  6. Step 6: Final answer
    x = 78,401,303.76

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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.