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Finding the Third Proportional to 14,589,177,568 and 34,405,334,656

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Solution

The third proportional to 14,589,177,568 and 34,405,334,656 is: 81,137,339,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589,177,568 : 34,405,334,656 = 34,405,334,656 : x
  2. Step 2: Convert to fraction form
    14,589,177,568/34,405,334,656 = 34,405,334,656/x
  3. Step 3: Cross multiply
    14,589,177,568x = 34,405,334,656 × 34,405,334,656
  4. Step 4: Simplify right side
    14,589,177,568x = 1,183,727,052,791,354,753,024
  5. Step 5: Solve for x
    x = 1,183,727,052,791,354,753,024/14,589,177,568
  6. Step 6: Final answer
    x = 81,137,339,460.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.