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Finding the Third Proportional to 19,778,067 and 41,071,968

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Solution

The third proportional to 19,778,067 and 41,071,968 is: 85,291,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778,067 : 41,071,968 = 41,071,968 : x
  2. Step 2: Convert to fraction form
    19,778,067/41,071,968 = 41,071,968/x
  3. Step 3: Cross multiply
    19,778,067x = 41,071,968 × 41,071,968
  4. Step 4: Simplify right side
    19,778,067x = 1,686,906,555,393,024
  5. Step 5: Solve for x
    x = 1,686,906,555,393,024/19,778,067
  6. Step 6: Final answer
    x = 85,291,780.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.