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Finding the Third Proportional to 307,006,972 and 667,804,568

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Solution

The third proportional to 307,006,972 and 667,804,568 is: 1,452,615,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,006,972 : 667,804,568 = 667,804,568 : x
  2. Step 2: Convert to fraction form
    307,006,972/667,804,568 = 667,804,568/x
  3. Step 3: Cross multiply
    307,006,972x = 667,804,568 × 667,804,568
  4. Step 4: Simplify right side
    307,006,972x = 445,962,941,041,666,624
  5. Step 5: Solve for x
    x = 445,962,941,041,666,624/307,006,972
  6. Step 6: Final answer
    x = 1,452,615,027.39

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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.