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Finding the Third Proportional to 17,109,518,984 and 27,224,608,908

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Solution

The third proportional to 17,109,518,984 and 27,224,608,908 is: 43,319,705,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109,518,984 : 27,224,608,908 = 27,224,608,908 : x
  2. Step 2: Convert to fraction form
    17,109,518,984/27,224,608,908 = 27,224,608,908/x
  3. Step 3: Cross multiply
    17,109,518,984x = 27,224,608,908 × 27,224,608,908
  4. Step 4: Simplify right side
    17,109,518,984x = 741,179,330,193,552,965,632
  5. Step 5: Solve for x
    x = 741,179,330,193,552,965,632/17,109,518,984
  6. Step 6: Final answer
    x = 43,319,705,883.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.