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Finding the Third Proportional to 76,052,360 and 164,224,912

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Solution

The third proportional to 76,052,360 and 164,224,912 is: 354,621,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,052,360 : 164,224,912 = 164,224,912 : x
  2. Step 2: Convert to fraction form
    76,052,360/164,224,912 = 164,224,912/x
  3. Step 3: Cross multiply
    76,052,360x = 164,224,912 × 164,224,912
  4. Step 4: Simplify right side
    76,052,360x = 26,969,821,721,407,744
  5. Step 5: Solve for x
    x = 26,969,821,721,407,744/76,052,360
  6. Step 6: Final answer
    x = 354,621,759.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.