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Finding the Third Proportional to 592,999,176,049.50 and 835,073,512,864.75

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Solution

The third proportional to 592,999,176,049.50 and 835,073,512,864.75 is: 1,175,967,522,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,999,176,049.50 : 835,073,512,864.75 = 835,073,512,864.75 : x
  2. Step 2: Convert to fraction form
    592,999,176,049.50/835,073,512,864.75 = 835,073,512,864.75/x
  3. Step 3: Cross multiply
    592,999,176,049.50x = 835,073,512,864.75 × 835,073,512,864.75
  4. Step 4: Simplify right side
    592,999,176,049.50x = 697,347,771,888,273,727,684,608
  5. Step 5: Solve for x
    x = 697,347,771,888,273,727,684,608/592,999,176,049.50
  6. Step 6: Final answer
    x = 1,175,967,522,474.37

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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.