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Finding the Third Proportional to 15,687,811,296 and 33,613,694,841

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Solution

The third proportional to 15,687,811,296 and 33,613,694,841 is: 72,022,824,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687,811,296 : 33,613,694,841 = 33,613,694,841 : x
  2. Step 2: Convert to fraction form
    15,687,811,296/33,613,694,841 = 33,613,694,841/x
  3. Step 3: Cross multiply
    15,687,811,296x = 33,613,694,841 × 33,613,694,841
  4. Step 4: Simplify right side
    15,687,811,296x = 1,129,880,480,863,869,992,960
  5. Step 5: Solve for x
    x = 1,129,880,480,863,869,992,960/15,687,811,296
  6. Step 6: Final answer
    x = 72,022,824,570.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.