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Finding the Third Proportional to 383,054,082.75 and 796,679,767.69

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Solution

The third proportional to 383,054,082.75 and 796,679,767.69 is: 1,656,942,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,054,082.75 : 796,679,767.69 = 796,679,767.69 : x
  2. Step 2: Convert to fraction form
    383,054,082.75/796,679,767.69 = 796,679,767.69/x
  3. Step 3: Cross multiply
    383,054,082.75x = 796,679,767.69 × 796,679,767.69
  4. Step 4: Simplify right side
    383,054,082.75x = 634,698,652,242,609,024
  5. Step 5: Solve for x
    x = 634,698,652,242,609,024/383,054,082.75
  6. Step 6: Final answer
    x = 1,656,942,663.78

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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.