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Finding the Third Proportional to 592,999,176,052 and 835,073,512,868

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Solution

The third proportional to 592,999,176,052 and 835,073,512,868 is: 1,175,967,522,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,999,176,052 : 835,073,512,868 = 835,073,512,868 : x
  2. Step 2: Convert to fraction form
    592,999,176,052/835,073,512,868 = 835,073,512,868/x
  3. Step 3: Cross multiply
    592,999,176,052x = 835,073,512,868 × 835,073,512,868
  4. Step 4: Simplify right side
    592,999,176,052x = 697,347,771,893,701,761,040,384
  5. Step 5: Solve for x
    x = 697,347,771,893,701,761,040,384/592,999,176,052
  6. Step 6: Final answer
    x = 1,175,967,522,478.57

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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.