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Finding the Third Proportional to 5,906,578 and 12,821,499

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Solution

The third proportional to 5,906,578 and 12,821,499 is: 27,831,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906,578 : 12,821,499 = 12,821,499 : x
  2. Step 2: Convert to fraction form
    5,906,578/12,821,499 = 12,821,499/x
  3. Step 3: Cross multiply
    5,906,578x = 12,821,499 × 12,821,499
  4. Step 4: Simplify right side
    5,906,578x = 164,390,836,607,001
  5. Step 5: Solve for x
    x = 164,390,836,607,001/5,906,578
  6. Step 6: Final answer
    x = 27,831,823.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.