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Finding the Third Proportional to 377,108,176 and 811,850,096

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Solution

The third proportional to 377,108,176 and 811,850,096 is: 1,747,775,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,108,176 : 811,850,096 = 811,850,096 : x
  2. Step 2: Convert to fraction form
    377,108,176/811,850,096 = 811,850,096/x
  3. Step 3: Cross multiply
    377,108,176x = 811,850,096 × 811,850,096
  4. Step 4: Simplify right side
    377,108,176x = 659,100,578,375,209,216
  5. Step 5: Solve for x
    x = 659,100,578,375,209,216/377,108,176
  6. Step 6: Final answer
    x = 1,747,775,891.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.