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Finding the Third Proportional to 5,871,086.93 and 12,144,906.49

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Solution

The third proportional to 5,871,086.93 and 12,144,906.49 is: 25,122,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871,086.93 : 12,144,906.49 = 12,144,906.49 : x
  2. Step 2: Convert to fraction form
    5,871,086.93/12,144,906.49 = 12,144,906.49/x
  3. Step 3: Cross multiply
    5,871,086.93x = 12,144,906.49 × 12,144,906.49
  4. Step 4: Simplify right side
    5,871,086.93x = 147,498,753,703,990.22
  5. Step 5: Solve for x
    x = 147,498,753,703,990.22/5,871,086.93
  6. Step 6: Final answer
    x = 25,122,904.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.