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Finding the Third Proportional to 69,860,481,300 and 151,961,257,500

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Solution

The third proportional to 69,860,481,300 and 151,961,257,500 is: 330,547,733,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,860,481,300 : 151,961,257,500 = 151,961,257,500 : x
  2. Step 2: Convert to fraction form
    69,860,481,300/151,961,257,500 = 151,961,257,500/x
  3. Step 3: Cross multiply
    69,860,481,300x = 151,961,257,500 × 151,961,257,500
  4. Step 4: Simplify right side
    69,860,481,300x = 23,092,223,780,981,305,245,696
  5. Step 5: Solve for x
    x = 23,092,223,780,981,305,245,696/69,860,481,300
  6. Step 6: Final answer
    x = 330,547,733,872.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.