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Finding the Third Proportional to 57,807,362 and 78,737,163

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Solution

The third proportional to 57,807,362 and 78,737,163 is: 107,244,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,807,362 : 78,737,163 = 78,737,163 : x
  2. Step 2: Convert to fraction form
    57,807,362/78,737,163 = 78,737,163/x
  3. Step 3: Cross multiply
    57,807,362x = 78,737,163 × 78,737,163
  4. Step 4: Simplify right side
    57,807,362x = 6,199,540,837,288,569
  5. Step 5: Solve for x
    x = 6,199,540,837,288,569/57,807,362
  6. Step 6: Final answer
    x = 107,244,832.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.