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Finding the Third Proportional to 600,357,874,498 and 914,603,694,071

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Solution

The third proportional to 600,357,874,498 and 914,603,694,071 is: 1,393,335,463,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,357,874,498 : 914,603,694,071 = 914,603,694,071 : x
  2. Step 2: Convert to fraction form
    600,357,874,498/914,603,694,071 = 914,603,694,071/x
  3. Step 3: Cross multiply
    600,357,874,498x = 914,603,694,071 × 914,603,694,071
  4. Step 4: Simplify right side
    600,357,874,498x = 836,499,917,208,319,378,325,504
  5. Step 5: Solve for x
    x = 836,499,917,208,319,378,325,504/600,357,874,498
  6. Step 6: Final answer
    x = 1,393,335,463,298.08

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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.