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Finding the Third Proportional to 3,649,389,741 and 5,653,383,912

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Solution

The third proportional to 3,649,389,741 and 5,653,383,912 is: 8,757,834,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649,389,741 : 5,653,383,912 = 5,653,383,912 : x
  2. Step 2: Convert to fraction form
    3,649,389,741/5,653,383,912 = 5,653,383,912/x
  3. Step 3: Cross multiply
    3,649,389,741x = 5,653,383,912 × 5,653,383,912
  4. Step 4: Simplify right side
    3,649,389,741x = 31,960,749,656,460,423,168
  5. Step 5: Solve for x
    x = 31,960,749,656,460,423,168/3,649,389,741
  6. Step 6: Final answer
    x = 8,757,834,028.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.