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Finding the Third Proportional to 452,327,829 and 984,751,611

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Solution

The third proportional to 452,327,829 and 984,751,611 is: 2,143,878,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,327,829 : 984,751,611 = 984,751,611 : x
  2. Step 2: Convert to fraction form
    452,327,829/984,751,611 = 984,751,611/x
  3. Step 3: Cross multiply
    452,327,829x = 984,751,611 × 984,751,611
  4. Step 4: Simplify right side
    452,327,829x = 969,735,735,367,095,296
  5. Step 5: Solve for x
    x = 969,735,735,367,095,296/452,327,829
  6. Step 6: Final answer
    x = 2,143,878,119.35

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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.