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Finding the Third Proportional to 305,052,840 and 667,147,020

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Solution

The third proportional to 305,052,840 and 667,147,020 is: 1,459,042,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052,840 : 667,147,020 = 667,147,020 : x
  2. Step 2: Convert to fraction form
    305,052,840/667,147,020 = 667,147,020/x
  3. Step 3: Cross multiply
    305,052,840x = 667,147,020 × 667,147,020
  4. Step 4: Simplify right side
    305,052,840x = 445,085,146,294,880,384
  5. Step 5: Solve for x
    x = 445,085,146,294,880,384/305,052,840
  6. Step 6: Final answer
    x = 1,459,042,788.44

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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.