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Finding the Third Proportional to 307,342,162 and 670,850,804

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Solution

The third proportional to 307,342,162 and 670,850,804 is: 1,464,298,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,342,162 : 670,850,804 = 670,850,804 : x
  2. Step 2: Convert to fraction form
    307,342,162/670,850,804 = 670,850,804/x
  3. Step 3: Cross multiply
    307,342,162x = 670,850,804 × 670,850,804
  4. Step 4: Simplify right side
    307,342,162x = 450,040,801,227,446,400
  5. Step 5: Solve for x
    x = 450,040,801,227,446,400/307,342,162
  6. Step 6: Final answer
    x = 1,464,298,937.38

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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.