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Finding the Third Proportional to 305,052,848 and 667,147,036

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Solution

The third proportional to 305,052,848 and 667,147,036 is: 1,459,042,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052,848 : 667,147,036 = 667,147,036 : x
  2. Step 2: Convert to fraction form
    305,052,848/667,147,036 = 667,147,036/x
  3. Step 3: Cross multiply
    305,052,848x = 667,147,036 × 667,147,036
  4. Step 4: Simplify right side
    305,052,848x = 445,085,167,643,585,280
  5. Step 5: Solve for x
    x = 445,085,167,643,585,280/305,052,848
  6. Step 6: Final answer
    x = 1,459,042,820.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.