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Finding the Third Proportional to 613,239,190,238 and 1,341,886,639,514

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Solution

The third proportional to 613,239,190,238 and 1,341,886,639,514 is: 2,936,308,999,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,239,190,238 : 1,341,886,639,514 = 1,341,886,639,514 : x
  2. Step 2: Convert to fraction form
    613,239,190,238/1,341,886,639,514 = 1,341,886,639,514/x
  3. Step 3: Cross multiply
    613,239,190,238x = 1,341,886,639,514 × 1,341,886,639,514
  4. Step 4: Simplify right side
    613,239,190,238x = 1,800,659,753,306,175,748,177,920
  5. Step 5: Solve for x
    x = 1,800,659,753,306,175,748,177,920/613,239,190,238
  6. Step 6: Final answer
    x = 2,936,308,999,767.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.