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Finding the Third Proportional to 32,985,966 and 50,332,119

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Solution

The third proportional to 32,985,966 and 50,332,119 is: 76,800,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985,966 : 50,332,119 = 50,332,119 : x
  2. Step 2: Convert to fraction form
    32,985,966/50,332,119 = 50,332,119/x
  3. Step 3: Cross multiply
    32,985,966x = 50,332,119 × 50,332,119
  4. Step 4: Simplify right side
    32,985,966x = 2,533,322,203,030,161
  5. Step 5: Solve for x
    x = 2,533,322,203,030,161/32,985,966
  6. Step 6: Final answer
    x = 76,800,000.43

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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.