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Finding the Third Proportional to 3,801,311 and 8,271,843.50

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Solution

The third proportional to 3,801,311 and 8,271,843.50 is: 17,999,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801,311 : 8,271,843.50 = 8,271,843.50 : x
  2. Step 2: Convert to fraction form
    3,801,311/8,271,843.50 = 8,271,843.50/x
  3. Step 3: Cross multiply
    3,801,311x = 8,271,843.50 × 8,271,843.50
  4. Step 4: Simplify right side
    3,801,311x = 68,423,394,888,492.25
  5. Step 5: Solve for x
    x = 68,423,394,888,492.25/3,801,311
  6. Step 6: Final answer
    x = 17,999,946.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.