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Finding the Third Proportional to 185,946,419 and 405,373,657

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Solution

The third proportional to 185,946,419 and 405,373,657 is: 883,737,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,946,419 : 405,373,657 = 405,373,657 : x
  2. Step 2: Convert to fraction form
    185,946,419/405,373,657 = 405,373,657/x
  3. Step 3: Cross multiply
    185,946,419x = 405,373,657 × 405,373,657
  4. Step 4: Simplify right side
    185,946,419x = 164,327,801,789,553,664
  5. Step 5: Solve for x
    x = 164,327,801,789,553,664/185,946,419
  6. Step 6: Final answer
    x = 883,737,383.45

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Why These Related Problems?

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