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Finding the Third Proportional to 383,860,440 and 828,885,744

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Solution

The third proportional to 383,860,440 and 828,885,744 is: 1,789,847,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,860,440 : 828,885,744 = 828,885,744 : x
  2. Step 2: Convert to fraction form
    383,860,440/828,885,744 = 828,885,744/x
  3. Step 3: Cross multiply
    383,860,440x = 828,885,744 × 828,885,744
  4. Step 4: Simplify right side
    383,860,440x = 687,051,576,606,433,536
  5. Step 5: Solve for x
    x = 687,051,576,606,433,536/383,860,440
  6. Step 6: Final answer
    x = 1,789,847,311.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.