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Finding the Third Proportional to 7,987,225 and 17,494,815.50

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Solution

The third proportional to 7,987,225 and 17,494,815.50 is: 38,319,763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987,225 : 17,494,815.50 = 17,494,815.50 : x
  2. Step 2: Convert to fraction form
    7,987,225/17,494,815.50 = 17,494,815.50/x
  3. Step 3: Cross multiply
    7,987,225x = 17,494,815.50 × 17,494,815.50
  4. Step 4: Simplify right side
    7,987,225x = 306,068,569,379,040.25
  5. Step 5: Solve for x
    x = 306,068,569,379,040.25/7,987,225
  6. Step 6: Final answer
    x = 38,319,763.04

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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.