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Finding the Third Proportional to 592,999,176,049 and 835,073,512,864

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Solution

The third proportional to 592,999,176,049 and 835,073,512,864 is: 1,175,967,522,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,999,176,049 : 835,073,512,864 = 835,073,512,864 : x
  2. Step 2: Convert to fraction form
    592,999,176,049/835,073,512,864 = 835,073,512,864/x
  3. Step 3: Cross multiply
    592,999,176,049x = 835,073,512,864 × 835,073,512,864
  4. Step 4: Simplify right side
    592,999,176,049x = 697,347,771,887,021,207,846,912
  5. Step 5: Solve for x
    x = 697,347,771,887,021,207,846,912/592,999,176,049
  6. Step 6: Final answer
    x = 1,175,967,522,473.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.