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Finding the Third Proportional to 8,178,725.50 and 12,382,712.50

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Solution

The third proportional to 8,178,725.50 and 12,382,712.50 is: 18,747,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178,725.50 : 12,382,712.50 = 12,382,712.50 : x
  2. Step 2: Convert to fraction form
    8,178,725.50/12,382,712.50 = 12,382,712.50/x
  3. Step 3: Cross multiply
    8,178,725.50x = 12,382,712.50 × 12,382,712.50
  4. Step 4: Simplify right side
    8,178,725.50x = 153,331,568,857,656.25
  5. Step 5: Solve for x
    x = 153,331,568,857,656.25/8,178,725.50
  6. Step 6: Final answer
    x = 18,747,611.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.