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Finding the Third Proportional to 307,007,028 and 667,804,680

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Solution

The third proportional to 307,007,028 and 667,804,680 is: 1,452,615,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,007,028 : 667,804,680 = 667,804,680 : x
  2. Step 2: Convert to fraction form
    307,007,028/667,804,680 = 667,804,680/x
  3. Step 3: Cross multiply
    307,007,028x = 667,804,680 × 667,804,680
  4. Step 4: Simplify right side
    307,007,028x = 445,963,090,629,902,400
  5. Step 5: Solve for x
    x = 445,963,090,629,902,400/307,007,028
  6. Step 6: Final answer
    x = 1,452,615,249.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.