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Finding the Third Proportional to 82,023,737 and 193,624,763

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Solution

The third proportional to 82,023,737 and 193,624,763 is: 457,069,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023,737 : 193,624,763 = 193,624,763 : x
  2. Step 2: Convert to fraction form
    82,023,737/193,624,763 = 193,624,763/x
  3. Step 3: Cross multiply
    82,023,737x = 193,624,763 × 193,624,763
  4. Step 4: Simplify right side
    82,023,737x = 37,490,548,846,806,168
  5. Step 5: Solve for x
    x = 37,490,548,846,806,168/82,023,737
  6. Step 6: Final answer
    x = 457,069,504.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.