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Finding the Third Proportional to 57,695,504,448 and 125,322,965,148

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Solution

The third proportional to 57,695,504,448 and 125,322,965,148 is: 272,219,573,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,695,504,448 : 125,322,965,148 = 125,322,965,148 : x
  2. Step 2: Convert to fraction form
    57,695,504,448/125,322,965,148 = 125,322,965,148/x
  3. Step 3: Cross multiply
    57,695,504,448x = 125,322,965,148 × 125,322,965,148
  4. Step 4: Simplify right side
    57,695,504,448x = 15,705,845,593,486,823,260,160
  5. Step 5: Solve for x
    x = 15,705,845,593,486,823,260,160/57,695,504,448
  6. Step 6: Final answer
    x = 272,219,573,149.63

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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.