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Finding the Third Proportional to 865,689,025.50 and 1,816,408,611

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Solution

The third proportional to 865,689,025.50 and 1,816,408,611 is: 3,811,230,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,689,025.50 : 1,816,408,611 = 1,816,408,611 : x
  2. Step 2: Convert to fraction form
    865,689,025.50/1,816,408,611 = 1,816,408,611/x
  3. Step 3: Cross multiply
    865,689,025.50x = 1,816,408,611 × 1,816,408,611
  4. Step 4: Simplify right side
    865,689,025.50x = 3,299,340,242,114,949,120
  5. Step 5: Solve for x
    x = 3,299,340,242,114,949,120/865,689,025.50
  6. Step 6: Final answer
    x = 3,811,230,297.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.