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Finding the Third Proportional to 8,162,517,072 and 12,241,649,787

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Solution

The third proportional to 8,162,517,072 and 12,241,649,787 is: 18,359,286,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162,517,072 : 12,241,649,787 = 12,241,649,787 : x
  2. Step 2: Convert to fraction form
    8,162,517,072/12,241,649,787 = 12,241,649,787/x
  3. Step 3: Cross multiply
    8,162,517,072x = 12,241,649,787 × 12,241,649,787
  4. Step 4: Simplify right side
    8,162,517,072x = 149,857,989,507,557,130,240
  5. Step 5: Solve for x
    x = 149,857,989,507,557,130,240/8,162,517,072
  6. Step 6: Final answer
    x = 18,359,286,502.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.