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Finding the Third Proportional to 407,644,114,937.24 and 886,858,369,059

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Solution

The third proportional to 407,644,114,937.24 and 886,858,369,059 is: 1,929,422,596,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,644,114,937.24 : 886,858,369,059 = 886,858,369,059 : x
  2. Step 2: Convert to fraction form
    407,644,114,937.24/886,858,369,059 = 886,858,369,059/x
  3. Step 3: Cross multiply
    407,644,114,937.24x = 886,858,369,059 × 886,858,369,059
  4. Step 4: Simplify right side
    407,644,114,937.24x = 786,517,766,769,989,419,794,432
  5. Step 5: Solve for x
    x = 786,517,766,769,989,419,794,432/407,644,114,937.24
  6. Step 6: Final answer
    x = 1,929,422,596,695.85

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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.