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Finding the Third Proportional to 923,946,296 and 1,924,321,680

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Solution

The third proportional to 923,946,296 and 1,924,321,680 is: 4,007,823,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,946,296 : 1,924,321,680 = 1,924,321,680 : x
  2. Step 2: Convert to fraction form
    923,946,296/1,924,321,680 = 1,924,321,680/x
  3. Step 3: Cross multiply
    923,946,296x = 1,924,321,680 × 1,924,321,680
  4. Step 4: Simplify right side
    923,946,296x = 3,703,013,928,118,022,144
  5. Step 5: Solve for x
    x = 3,703,013,928,118,022,144/923,946,296
  6. Step 6: Final answer
    x = 4,007,823,770.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.