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Finding the Third Proportional to 3,978,100,225 and 6,629,767,464

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Solution

The third proportional to 3,978,100,225 and 6,629,767,464 is: 11,048,946,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978,100,225 : 6,629,767,464 = 6,629,767,464 : x
  2. Step 2: Convert to fraction form
    3,978,100,225/6,629,767,464 = 6,629,767,464/x
  3. Step 3: Cross multiply
    3,978,100,225x = 6,629,767,464 × 6,629,767,464
  4. Step 4: Simplify right side
    3,978,100,225x = 43,953,816,626,712,993,792
  5. Step 5: Solve for x
    x = 43,953,816,626,712,993,792/3,978,100,225
  6. Step 6: Final answer
    x = 11,048,946,517.36

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.