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Finding the Third Proportional to 189,397,083,309 and 412,135,682,826

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Solution

The third proportional to 189,397,083,309 and 412,135,682,826 is: 896,823,848,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,397,083,309 : 412,135,682,826 = 412,135,682,826 : x
  2. Step 2: Convert to fraction form
    189,397,083,309/412,135,682,826 = 412,135,682,826/x
  3. Step 3: Cross multiply
    189,397,083,309x = 412,135,682,826 × 412,135,682,826
  4. Step 4: Simplify right side
    189,397,083,309x = 169,855,821,058,453,276,721,152
  5. Step 5: Solve for x
    x = 169,855,821,058,453,276,721,152/189,397,083,309
  6. Step 6: Final answer
    x = 896,823,848,027.98

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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.