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Finding the Third Proportional to 1,682,412,058 and 3,681,444,860

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Solution

The third proportional to 1,682,412,058 and 3,681,444,860 is: 8,055,717,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,412,058 : 3,681,444,860 = 3,681,444,860 : x
  2. Step 2: Convert to fraction form
    1,682,412,058/3,681,444,860 = 3,681,444,860/x
  3. Step 3: Cross multiply
    1,682,412,058x = 3,681,444,860 × 3,681,444,860
  4. Step 4: Simplify right side
    1,682,412,058x = 13,553,036,257,220,419,584
  5. Step 5: Solve for x
    x = 13,553,036,257,220,419,584/1,682,412,058
  6. Step 6: Final answer
    x = 8,055,717,499.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.