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Finding the Third Proportional to 4,212,168,410,599.70 and 9,058,253,682,670.80

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Solution

The third proportional to 4,212,168,410,599.70 and 9,058,253,682,670.80 is: 19,479,743,396,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,168,410,599.70 : 9,058,253,682,670.80 = 9,058,253,682,670.80 : x
  2. Step 2: Convert to fraction form
    4,212,168,410,599.70/9,058,253,682,670.80 = 9,058,253,682,670.80/x
  3. Step 3: Cross multiply
    4,212,168,410,599.70x = 9,058,253,682,670.80 × 9,058,253,682,670.80
  4. Step 4: Simplify right side
    4,212,168,410,599.70x = 82,051,959,779,619,126,456,090,624
  5. Step 5: Solve for x
    x = 82,051,959,779,619,126,456,090,624/4,212,168,410,599.70
  6. Step 6: Final answer
    x = 19,479,743,396,094.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.