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Finding the Third Proportional to 416,309,283,538 and 561,698,970,640

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Solution

The third proportional to 416,309,283,538 and 561,698,970,640 is: 757,863,795,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,309,283,538 : 561,698,970,640 = 561,698,970,640 : x
  2. Step 2: Convert to fraction form
    416,309,283,538/561,698,970,640 = 561,698,970,640/x
  3. Step 3: Cross multiply
    416,309,283,538x = 561,698,970,640 × 561,698,970,640
  4. Step 4: Simplify right side
    416,309,283,538x = 315,505,733,618,035,601,702,912
  5. Step 5: Solve for x
    x = 315,505,733,618,035,601,702,912/416,309,283,538
  6. Step 6: Final answer
    x = 757,863,795,245.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.