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Finding the Third Proportional to 50,282,658 and 76,885,998.75

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Solution

The third proportional to 50,282,658 and 76,885,998.75 is: 117,564,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,282,658 : 76,885,998.75 = 76,885,998.75 : x
  2. Step 2: Convert to fraction form
    50,282,658/76,885,998.75 = 76,885,998.75/x
  3. Step 3: Cross multiply
    50,282,658x = 76,885,998.75 × 76,885,998.75
  4. Step 4: Simplify right side
    50,282,658x = 5,911,456,803,785,002
  5. Step 5: Solve for x
    x = 5,911,456,803,785,002/50,282,658
  6. Step 6: Final answer
    x = 117,564,525.01

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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.