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Finding the Third Proportional to 4,571,595,758 and 9,922,531,036

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Solution

The third proportional to 4,571,595,758 and 9,922,531,036 is: 21,536,598,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571,595,758 : 9,922,531,036 = 9,922,531,036 : x
  2. Step 2: Convert to fraction form
    4,571,595,758/9,922,531,036 = 9,922,531,036/x
  3. Step 3: Cross multiply
    4,571,595,758x = 9,922,531,036 × 9,922,531,036
  4. Step 4: Simplify right side
    4,571,595,758x = 98,456,622,160,383,229,952
  5. Step 5: Solve for x
    x = 98,456,622,160,383,229,952/4,571,595,758
  6. Step 6: Final answer
    x = 21,536,598,459.76

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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.