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Finding the Third Proportional to 179,472,010,698 and 387,599,579,825

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Solution

The third proportional to 179,472,010,698 and 387,599,579,825 is: 837,085,591,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,472,010,698 : 387,599,579,825 = 387,599,579,825 : x
  2. Step 2: Convert to fraction form
    179,472,010,698/387,599,579,825 = 387,599,579,825/x
  3. Step 3: Cross multiply
    179,472,010,698x = 387,599,579,825 × 387,599,579,825
  4. Step 4: Simplify right side
    179,472,010,698x = 150,233,434,280,516,539,908,096
  5. Step 5: Solve for x
    x = 150,233,434,280,516,539,908,096/179,472,010,698
  6. Step 6: Final answer
    x = 837,085,591,765.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.