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Finding the Third Proportional to 8,078,863.50 and 17,677,935

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Solution

The third proportional to 8,078,863.50 and 17,677,935 is: 38,682,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,863.50 : 17,677,935 = 17,677,935 : x
  2. Step 2: Convert to fraction form
    8,078,863.50/17,677,935 = 17,677,935/x
  3. Step 3: Cross multiply
    8,078,863.50x = 17,677,935 × 17,677,935
  4. Step 4: Simplify right side
    8,078,863.50x = 312,509,385,864,225
  5. Step 5: Solve for x
    x = 312,509,385,864,225/8,078,863.50
  6. Step 6: Final answer
    x = 38,682,345.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.