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Finding the Third Proportional to 51,058,620 and 76,407,489

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Solution

The third proportional to 51,058,620 and 76,407,489 is: 114,341,209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,058,620 : 76,407,489 = 76,407,489 : x
  2. Step 2: Convert to fraction form
    51,058,620/76,407,489 = 76,407,489/x
  3. Step 3: Cross multiply
    51,058,620x = 76,407,489 × 76,407,489
  4. Step 4: Simplify right side
    51,058,620x = 5,838,104,375,285,121
  5. Step 5: Solve for x
    x = 5,838,104,375,285,121/51,058,620
  6. Step 6: Final answer
    x = 114,341,209.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.