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Finding the Third Proportional to 187,871,496 and 381,025,512

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Solution

The third proportional to 187,871,496 and 381,025,512 is: 772,764,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,871,496 : 381,025,512 = 381,025,512 : x
  2. Step 2: Convert to fraction form
    187,871,496/381,025,512 = 381,025,512/x
  3. Step 3: Cross multiply
    187,871,496x = 381,025,512 × 381,025,512
  4. Step 4: Simplify right side
    187,871,496x = 145,180,440,794,862,144
  5. Step 5: Solve for x
    x = 145,180,440,794,862,144/187,871,496
  6. Step 6: Final answer
    x = 772,764,596.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.