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Finding the Third Proportional to 213,183,675,015 and 474,032,177,067

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Solution

The third proportional to 213,183,675,015 and 474,032,177,067 is: 1,054,051,183,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,183,675,015 : 474,032,177,067 = 474,032,177,067 : x
  2. Step 2: Convert to fraction form
    213,183,675,015/474,032,177,067 = 474,032,177,067/x
  3. Step 3: Cross multiply
    213,183,675,015x = 474,032,177,067 × 474,032,177,067
  4. Step 4: Simplify right side
    213,183,675,015x = 224,706,504,894,879,646,089,216
  5. Step 5: Solve for x
    x = 224,706,504,894,879,646,089,216/213,183,675,015
  6. Step 6: Final answer
    x = 1,054,051,183,230.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.