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Finding the Third Proportional to 3,984,307,364 and 5,954,501,378

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Solution

The third proportional to 3,984,307,364 and 5,954,501,378 is: 8,898,933,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984,307,364 : 5,954,501,378 = 5,954,501,378 : x
  2. Step 2: Convert to fraction form
    3,984,307,364/5,954,501,378 = 5,954,501,378/x
  3. Step 3: Cross multiply
    3,984,307,364x = 5,954,501,378 × 5,954,501,378
  4. Step 4: Simplify right side
    3,984,307,364x = 35,456,086,660,603,899,904
  5. Step 5: Solve for x
    x = 35,456,086,660,603,899,904/3,984,307,364
  6. Step 6: Final answer
    x = 8,898,933,596.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.