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Finding the Third Proportional to 377,569,802 and 823,770,580

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Solution

The third proportional to 377,569,802 and 823,770,580 is: 1,797,278,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,569,802 : 823,770,580 = 823,770,580 : x
  2. Step 2: Convert to fraction form
    377,569,802/823,770,580 = 823,770,580/x
  3. Step 3: Cross multiply
    377,569,802x = 823,770,580 × 823,770,580
  4. Step 4: Simplify right side
    377,569,802x = 678,597,968,473,536,384
  5. Step 5: Solve for x
    x = 678,597,968,473,536,384/377,569,802
  6. Step 6: Final answer
    x = 1,797,278,185.06

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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.