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Finding the Third Proportional to 947,093,221,572.45 and 1,944,394,613,907.30

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Solution

The third proportional to 947,093,221,572.45 and 1,944,394,613,907.30 is: 3,991,867,250,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,093,221,572.45 : 1,944,394,613,907.30 = 1,944,394,613,907.30 : x
  2. Step 2: Convert to fraction form
    947,093,221,572.45/1,944,394,613,907.30 = 1,944,394,613,907.30/x
  3. Step 3: Cross multiply
    947,093,221,572.45x = 1,944,394,613,907.30 × 1,944,394,613,907.30
  4. Step 4: Simplify right side
    947,093,221,572.45x = 3,780,670,414,591,718,663,913,472
  5. Step 5: Solve for x
    x = 3,780,670,414,591,718,663,913,472/947,093,221,572.45
  6. Step 6: Final answer
    x = 3,991,867,250,738.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.