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Finding the Third Proportional to 57,489,856,878 and 125,102,964,939

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Solution

The third proportional to 57,489,856,878 and 125,102,964,939 is: 272,235,011,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,489,856,878 : 125,102,964,939 = 125,102,964,939 : x
  2. Step 2: Convert to fraction form
    57,489,856,878/125,102,964,939 = 125,102,964,939/x
  3. Step 3: Cross multiply
    57,489,856,878x = 125,102,964,939 × 125,102,964,939
  4. Step 4: Simplify right side
    57,489,856,878x = 15,650,751,836,528,662,544,384
  5. Step 5: Solve for x
    x = 15,650,751,836,528,662,544,384/57,489,856,878
  6. Step 6: Final answer
    x = 272,235,011,294.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.