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Finding the Third Proportional to 376,377,418 and 810,423,380

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Solution

The third proportional to 376,377,418 and 810,423,380 is: 1,745,019,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,377,418 : 810,423,380 = 810,423,380 : x
  2. Step 2: Convert to fraction form
    376,377,418/810,423,380 = 810,423,380/x
  3. Step 3: Cross multiply
    376,377,418x = 810,423,380 × 810,423,380
  4. Step 4: Simplify right side
    376,377,418x = 656,786,054,850,624,384
  5. Step 5: Solve for x
    x = 656,786,054,850,624,384/376,377,418
  6. Step 6: Final answer
    x = 1,745,019,821.70

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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.