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Finding the Third Proportional to 1,621,669,350 and 3,540,591,378

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Solution

The third proportional to 1,621,669,350 and 3,540,591,378 is: 7,730,174,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621,669,350 : 3,540,591,378 = 3,540,591,378 : x
  2. Step 2: Convert to fraction form
    1,621,669,350/3,540,591,378 = 3,540,591,378/x
  3. Step 3: Cross multiply
    1,621,669,350x = 3,540,591,378 × 3,540,591,378
  4. Step 4: Simplify right side
    1,621,669,350x = 12,535,787,305,967,939,584
  5. Step 5: Solve for x
    x = 12,535,787,305,967,939,584/1,621,669,350
  6. Step 6: Final answer
    x = 7,730,174,653.65

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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.