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Finding the Third Proportional to 1,621,669,273 and 3,540,591,212

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Solution

The third proportional to 1,621,669,273 and 3,540,591,212 is: 7,730,174,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621,669,273 : 3,540,591,212 = 3,540,591,212 : x
  2. Step 2: Convert to fraction form
    1,621,669,273/3,540,591,212 = 3,540,591,212/x
  3. Step 3: Cross multiply
    1,621,669,273x = 3,540,591,212 × 3,540,591,212
  4. Step 4: Simplify right side
    1,621,669,273x = 12,535,786,130,491,629,568
  5. Step 5: Solve for x
    x = 12,535,786,130,491,629,568/1,621,669,273
  6. Step 6: Final answer
    x = 7,730,174,295.84

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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.