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Finding the Third Proportional to 50,282,534 and 76,885,811

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Solution

The third proportional to 50,282,534 and 76,885,811 is: 117,564,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,282,534 : 76,885,811 = 76,885,811 : x
  2. Step 2: Convert to fraction form
    50,282,534/76,885,811 = 76,885,811/x
  3. Step 3: Cross multiply
    50,282,534x = 76,885,811 × 76,885,811
  4. Step 4: Simplify right side
    50,282,534x = 5,911,427,933,127,721
  5. Step 5: Solve for x
    x = 5,911,427,933,127,721/50,282,534
  6. Step 6: Final answer
    x = 117,564,240.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.