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Finding the Third Proportional to 172,037,995,780 and 269,876,850,863

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Solution

The third proportional to 172,037,995,780 and 269,876,850,863 is: 423,357,144,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,037,995,780 : 269,876,850,863 = 269,876,850,863 : x
  2. Step 2: Convert to fraction form
    172,037,995,780/269,876,850,863 = 269,876,850,863/x
  3. Step 3: Cross multiply
    172,037,995,780x = 269,876,850,863 × 269,876,850,863
  4. Step 4: Simplify right side
    172,037,995,780x = 72,833,514,631,729,946,558,464
  5. Step 5: Solve for x
    x = 72,833,514,631,729,946,558,464/172,037,995,780
  6. Step 6: Final answer
    x = 423,357,144,458.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.