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Finding the Third Proportional to 57,932,850 and 120,627,784

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Solution

The third proportional to 57,932,850 and 120,627,784 is: 251,171,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,932,850 : 120,627,784 = 120,627,784 : x
  2. Step 2: Convert to fraction form
    57,932,850/120,627,784 = 120,627,784/x
  3. Step 3: Cross multiply
    57,932,850x = 120,627,784 × 120,627,784
  4. Step 4: Simplify right side
    57,932,850x = 14,551,062,272,750,656
  5. Step 5: Solve for x
    x = 14,551,062,272,750,656/57,932,850
  6. Step 6: Final answer
    x = 251,171,179.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.