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Finding the Third Proportional to 127,619,848 and 280,758,800

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Solution

The third proportional to 127,619,848 and 280,758,800 is: 617,658,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,619,848 : 280,758,800 = 280,758,800 : x
  2. Step 2: Convert to fraction form
    127,619,848/280,758,800 = 280,758,800/x
  3. Step 3: Cross multiply
    127,619,848x = 280,758,800 × 280,758,800
  4. Step 4: Simplify right side
    127,619,848x = 78,825,503,777,440,000
  5. Step 5: Solve for x
    x = 78,825,503,777,440,000/127,619,848
  6. Step 6: Final answer
    x = 617,658,655.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.