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Finding the Third Proportional to 600,357,874,494 and 914,603,694,066

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Solution

The third proportional to 600,357,874,494 and 914,603,694,066 is: 1,393,335,463,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,357,874,494 : 914,603,694,066 = 914,603,694,066 : x
  2. Step 2: Convert to fraction form
    600,357,874,494/914,603,694,066 = 914,603,694,066/x
  3. Step 3: Cross multiply
    600,357,874,494x = 914,603,694,066 × 914,603,694,066
  4. Step 4: Simplify right side
    600,357,874,494x = 836,499,917,199,173,379,686,400
  5. Step 5: Solve for x
    x = 836,499,917,199,173,379,686,400/600,357,874,494
  6. Step 6: Final answer
    x = 1,393,335,463,292.13

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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.