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Finding the Third Proportional to 185,946,424 and 405,373,672

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Solution

The third proportional to 185,946,424 and 405,373,672 is: 883,737,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,946,424 : 405,373,672 = 405,373,672 : x
  2. Step 2: Convert to fraction form
    185,946,424/405,373,672 = 405,373,672/x
  3. Step 3: Cross multiply
    185,946,424x = 405,373,672 × 405,373,672
  4. Step 4: Simplify right side
    185,946,424x = 164,327,813,950,763,584
  5. Step 5: Solve for x
    x = 164,327,813,950,763,584/185,946,424
  6. Step 6: Final answer
    x = 883,737,425.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.