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Finding the Third Proportional to 3,052,374,534 and 6,611,836,608

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Solution

The third proportional to 3,052,374,534 and 6,611,836,608 is: 14,322,090,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052,374,534 : 6,611,836,608 = 6,611,836,608 : x
  2. Step 2: Convert to fraction form
    3,052,374,534/6,611,836,608 = 6,611,836,608/x
  3. Step 3: Cross multiply
    3,052,374,534x = 6,611,836,608 × 6,611,836,608
  4. Step 4: Simplify right side
    3,052,374,534x = 43,716,383,330,888,941,568
  5. Step 5: Solve for x
    x = 43,716,383,330,888,941,568/3,052,374,534
  6. Step 6: Final answer
    x = 14,322,090,177.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.