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Finding the Third Proportional to 63,393,686,089 and 138,178,007,923

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Solution

The third proportional to 63,393,686,089 and 138,178,007,923 is: 301,183,967,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,393,686,089 : 138,178,007,923 = 138,178,007,923 : x
  2. Step 2: Convert to fraction form
    63,393,686,089/138,178,007,923 = 138,178,007,923/x
  3. Step 3: Cross multiply
    63,393,686,089x = 138,178,007,923 × 138,178,007,923
  4. Step 4: Simplify right side
    63,393,686,089x = 19,093,161,873,568,652,328,960
  5. Step 5: Solve for x
    x = 19,093,161,873,568,652,328,960/63,393,686,089
  6. Step 6: Final answer
    x = 301,183,967,229.22

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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.