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Finding the Third Proportional to 3,228,941,165 and 5,054,174,821

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Solution

The third proportional to 3,228,941,165 and 5,054,174,821 is: 7,911,164,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228,941,165 : 5,054,174,821 = 5,054,174,821 : x
  2. Step 2: Convert to fraction form
    3,228,941,165/5,054,174,821 = 5,054,174,821/x
  3. Step 3: Cross multiply
    3,228,941,165x = 5,054,174,821 × 5,054,174,821
  4. Step 4: Simplify right side
    3,228,941,165x = 25,544,683,121,230,381,056
  5. Step 5: Solve for x
    x = 25,544,683,121,230,381,056/3,228,941,165
  6. Step 6: Final answer
    x = 7,911,164,005.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.