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Finding the Third Proportional to 135,106,496 and 273,972,510

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Solution

The third proportional to 135,106,496 and 273,972,510 is: 555,568,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,106,496 : 273,972,510 = 273,972,510 : x
  2. Step 2: Convert to fraction form
    135,106,496/273,972,510 = 273,972,510/x
  3. Step 3: Cross multiply
    135,106,496x = 273,972,510 × 273,972,510
  4. Step 4: Simplify right side
    135,106,496x = 75,060,936,235,700,096
  5. Step 5: Solve for x
    x = 75,060,936,235,700,096/135,106,496
  6. Step 6: Final answer
    x = 555,568,669.59

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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.