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Finding the Third Proportional to 32,985,970 and 50,332,125

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Solution

The third proportional to 32,985,970 and 50,332,125 is: 76,800,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985,970 : 50,332,125 = 50,332,125 : x
  2. Step 2: Convert to fraction form
    32,985,970/50,332,125 = 50,332,125/x
  3. Step 3: Cross multiply
    32,985,970x = 50,332,125 × 50,332,125
  4. Step 4: Simplify right side
    32,985,970x = 2,533,322,807,015,625
  5. Step 5: Solve for x
    x = 2,533,322,807,015,625/32,985,970
  6. Step 6: Final answer
    x = 76,800,009.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.