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Finding the Third Proportional to 5,969,424,216 and 12,777,410,666

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Solution

The third proportional to 5,969,424,216 and 12,777,410,666 is: 27,349,743,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969,424,216 : 12,777,410,666 = 12,777,410,666 : x
  2. Step 2: Convert to fraction form
    5,969,424,216/12,777,410,666 = 12,777,410,666/x
  3. Step 3: Cross multiply
    5,969,424,216x = 12,777,410,666 × 12,777,410,666
  4. Step 4: Simplify right side
    5,969,424,216x = 163,262,223,327,610,568,704
  5. Step 5: Solve for x
    x = 163,262,223,327,610,568,704/5,969,424,216
  6. Step 6: Final answer
    x = 27,349,743,864.75

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