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Finding the Third Proportional to 189,397,046,910 and 412,135,608,660

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Solution

The third proportional to 189,397,046,910 and 412,135,608,660 is: 896,823,697,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,397,046,910 : 412,135,608,660 = 412,135,608,660 : x
  2. Step 2: Convert to fraction form
    189,397,046,910/412,135,608,660 = 412,135,608,660/x
  3. Step 3: Cross multiply
    189,397,046,910x = 412,135,608,660 × 412,135,608,660
  4. Step 4: Simplify right side
    189,397,046,910x = 169,855,759,925,548,656,099,328
  5. Step 5: Solve for x
    x = 169,855,759,925,548,656,099,328/189,397,046,910
  6. Step 6: Final answer
    x = 896,823,697,606.35

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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.