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Finding the Third Proportional to 189,397,083,301 and 412,135,682,810

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Solution

The third proportional to 189,397,083,301 and 412,135,682,810 is: 896,823,847,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,397,083,301 : 412,135,682,810 = 412,135,682,810 : x
  2. Step 2: Convert to fraction form
    189,397,083,301/412,135,682,810 = 412,135,682,810/x
  3. Step 3: Cross multiply
    189,397,083,301x = 412,135,682,810 × 412,135,682,810
  4. Step 4: Simplify right side
    189,397,083,301x = 169,855,821,045,264,942,104,576
  5. Step 5: Solve for x
    x = 169,855,821,045,264,942,104,576/189,397,083,301
  6. Step 6: Final answer
    x = 896,823,847,996.23

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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.