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Finding the Third Proportional to 3,682,768,066 and 7,890,836,036

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Solution

The third proportional to 3,682,768,066 and 7,890,836,036 is: 16,907,199,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,768,066 : 7,890,836,036 = 7,890,836,036 : x
  2. Step 2: Convert to fraction form
    3,682,768,066/7,890,836,036 = 7,890,836,036/x
  3. Step 3: Cross multiply
    3,682,768,066x = 7,890,836,036 × 7,890,836,036
  4. Step 4: Simplify right side
    3,682,768,066x = 62,265,293,347,036,192,768
  5. Step 5: Solve for x
    x = 62,265,293,347,036,192,768/3,682,768,066
  6. Step 6: Final answer
    x = 16,907,199,212.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.