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Finding the Third Proportional to 17,384,049,458 and 37,656,100,588

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Solution

The third proportional to 17,384,049,458 and 37,656,100,588 is: 81,567,986,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384,049,458 : 37,656,100,588 = 37,656,100,588 : x
  2. Step 2: Convert to fraction form
    17,384,049,458/37,656,100,588 = 37,656,100,588/x
  3. Step 3: Cross multiply
    17,384,049,458x = 37,656,100,588 × 37,656,100,588
  4. Step 4: Simplify right side
    17,384,049,458x = 1,417,981,911,493,573,869,568
  5. Step 5: Solve for x
    x = 1,417,981,911,493,573,869,568/17,384,049,458
  6. Step 6: Final answer
    x = 81,567,986,499.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.