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Finding the Third Proportional to 667,997,285 and 1,381,816,594

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Solution

The third proportional to 667,997,285 and 1,381,816,594 is: 2,858,420,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,997,285 : 1,381,816,594 = 1,381,816,594 : x
  2. Step 2: Convert to fraction form
    667,997,285/1,381,816,594 = 1,381,816,594/x
  3. Step 3: Cross multiply
    667,997,285x = 1,381,816,594 × 1,381,816,594
  4. Step 4: Simplify right side
    667,997,285x = 1,909,417,099,453,760,768
  5. Step 5: Solve for x
    x = 1,909,417,099,453,760,768/667,997,285
  6. Step 6: Final answer
    x = 2,858,420,449.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.