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Finding the Third Proportional to 17,846,410,668 and 26,999,145,298

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Solution

The third proportional to 17,846,410,668 and 26,999,145,298 is: 40,845,963,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846,410,668 : 26,999,145,298 = 26,999,145,298 : x
  2. Step 2: Convert to fraction form
    17,846,410,668/26,999,145,298 = 26,999,145,298/x
  3. Step 3: Cross multiply
    17,846,410,668x = 26,999,145,298 × 26,999,145,298
  4. Step 4: Simplify right side
    17,846,410,668x = 728,953,846,822,515,507,200
  5. Step 5: Solve for x
    x = 728,953,846,822,515,507,200/17,846,410,668
  6. Step 6: Final answer
    x = 40,845,963,952.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.