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Finding the Third Proportional to 122,655,782 and 270,199,624

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Solution

The third proportional to 122,655,782 and 270,199,624 is: 595,225,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,655,782 : 270,199,624 = 270,199,624 : x
  2. Step 2: Convert to fraction form
    122,655,782/270,199,624 = 270,199,624/x
  3. Step 3: Cross multiply
    122,655,782x = 270,199,624 × 270,199,624
  4. Step 4: Simplify right side
    122,655,782x = 73,007,836,809,741,376
  5. Step 5: Solve for x
    x = 73,007,836,809,741,376/122,655,782
  6. Step 6: Final answer
    x = 595,225,399.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.