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Finding the Third Proportional to 383,837,912 and 835,828,144

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Solution

The third proportional to 383,837,912 and 835,828,144 is: 1,820,061,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,837,912 : 835,828,144 = 835,828,144 : x
  2. Step 2: Convert to fraction form
    383,837,912/835,828,144 = 835,828,144/x
  3. Step 3: Cross multiply
    383,837,912x = 835,828,144 × 835,828,144
  4. Step 4: Simplify right side
    383,837,912x = 698,608,686,302,484,736
  5. Step 5: Solve for x
    x = 698,608,686,302,484,736/383,837,912
  6. Step 6: Final answer
    x = 1,820,061,709.54

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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.