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Finding the Third Proportional to 378,160,002 and 822,577,356

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Solution

The third proportional to 378,160,002 and 822,577,356 is: 1,789,278,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,160,002 : 822,577,356 = 822,577,356 : x
  2. Step 2: Convert to fraction form
    378,160,002/822,577,356 = 822,577,356/x
  3. Step 3: Cross multiply
    378,160,002x = 822,577,356 × 822,577,356
  4. Step 4: Simplify right side
    378,160,002x = 676,633,506,603,950,720
  5. Step 5: Solve for x
    x = 676,633,506,603,950,720/378,160,002
  6. Step 6: Final answer
    x = 1,789,278,355.79

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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.