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Finding the Third Proportional to 57,695,504,420.50 and 125,322,965,099

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Solution

The third proportional to 57,695,504,420.50 and 125,322,965,099 is: 272,219,573,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,695,504,420.50 : 125,322,965,099 = 125,322,965,099 : x
  2. Step 2: Convert to fraction form
    57,695,504,420.50/125,322,965,099 = 125,322,965,099/x
  3. Step 3: Cross multiply
    57,695,504,420.50x = 125,322,965,099 × 125,322,965,099
  4. Step 4: Simplify right side
    57,695,504,420.50x = 15,705,845,581,205,171,339,264
  5. Step 5: Solve for x
    x = 15,705,845,581,205,171,339,264/57,695,504,420.50
  6. Step 6: Final answer
    x = 272,219,573,066.51

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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.