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Finding the Third Proportional to 3,679,619,393 and 8,025,211,170

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Solution

The third proportional to 3,679,619,393 and 8,025,211,170 is: 17,502,901,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679,619,393 : 8,025,211,170 = 8,025,211,170 : x
  2. Step 2: Convert to fraction form
    3,679,619,393/8,025,211,170 = 8,025,211,170/x
  3. Step 3: Cross multiply
    3,679,619,393x = 8,025,211,170 × 8,025,211,170
  4. Step 4: Simplify right side
    3,679,619,393x = 64,404,014,323,092,766,720
  5. Step 5: Solve for x
    x = 64,404,014,323,092,766,720/3,679,619,393
  6. Step 6: Final answer
    x = 17,502,901,100.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.