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Finding the Third Proportional to 600,357,874,500 and 914,603,694,074

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Solution

The third proportional to 600,357,874,500 and 914,603,694,074 is: 1,393,335,463,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,357,874,500 : 914,603,694,074 = 914,603,694,074 : x
  2. Step 2: Convert to fraction form
    600,357,874,500/914,603,694,074 = 914,603,694,074/x
  3. Step 3: Cross multiply
    600,357,874,500x = 914,603,694,074 × 914,603,694,074
  4. Step 4: Simplify right side
    600,357,874,500x = 836,499,917,213,807,004,352,512
  5. Step 5: Solve for x
    x = 836,499,917,213,807,004,352,512/600,357,874,500
  6. Step 6: Final answer
    x = 1,393,335,463,302.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.