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Finding the Third Proportional to 322,678,944 and 487,860,096

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Solution

The third proportional to 322,678,944 and 487,860,096 is: 737,598,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,678,944 : 487,860,096 = 487,860,096 : x
  2. Step 2: Convert to fraction form
    322,678,944/487,860,096 = 487,860,096/x
  3. Step 3: Cross multiply
    322,678,944x = 487,860,096 × 487,860,096
  4. Step 4: Simplify right side
    322,678,944x = 238,007,473,269,129,216
  5. Step 5: Solve for x
    x = 238,007,473,269,129,216/322,678,944
  6. Step 6: Final answer
    x = 737,598,401.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.