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Finding the Third Proportional to 4,115,605.50 and 8,863,331.63

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Solution

The third proportional to 4,115,605.50 and 8,863,331.63 is: 19,087,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115,605.50 : 8,863,331.63 = 8,863,331.63 : x
  2. Step 2: Convert to fraction form
    4,115,605.50/8,863,331.63 = 8,863,331.63/x
  3. Step 3: Cross multiply
    4,115,605.50x = 8,863,331.63 × 8,863,331.63
  4. Step 4: Simplify right side
    4,115,605.50x = 78,558,647,494,725.14
  5. Step 5: Solve for x
    x = 78,558,647,494,725.14/4,115,605.50
  6. Step 6: Final answer
    x = 19,087,992.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.