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Finding the Third Proportional to 57,489,856,875 and 125,102,964,933

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Solution

The third proportional to 57,489,856,875 and 125,102,964,933 is: 272,235,011,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,489,856,875 : 125,102,964,933 = 125,102,964,933 : x
  2. Step 2: Convert to fraction form
    57,489,856,875/125,102,964,933 = 125,102,964,933/x
  3. Step 3: Cross multiply
    57,489,856,875x = 125,102,964,933 × 125,102,964,933
  4. Step 4: Simplify right side
    57,489,856,875x = 15,650,751,835,027,426,770,944
  5. Step 5: Solve for x
    x = 15,650,751,835,027,426,770,944/57,489,856,875
  6. Step 6: Final answer
    x = 272,235,011,283.07

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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.