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Finding the Third Proportional to 377,569,800 and 823,770,576

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Solution

The third proportional to 377,569,800 and 823,770,576 is: 1,797,278,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,569,800 : 823,770,576 = 823,770,576 : x
  2. Step 2: Convert to fraction form
    377,569,800/823,770,576 = 823,770,576/x
  3. Step 3: Cross multiply
    377,569,800x = 823,770,576 × 823,770,576
  4. Step 4: Simplify right side
    377,569,800x = 678,597,961,883,371,776
  5. Step 5: Solve for x
    x = 678,597,961,883,371,776/377,569,800
  6. Step 6: Final answer
    x = 1,797,278,177.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.