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Finding the Third Proportional to 1,469,309,847.75 and 3,196,890,180

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Solution

The third proportional to 1,469,309,847.75 and 3,196,890,180 is: 6,955,719,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,309,847.75 : 3,196,890,180 = 3,196,890,180 : x
  2. Step 2: Convert to fraction form
    1,469,309,847.75/3,196,890,180 = 3,196,890,180/x
  3. Step 3: Cross multiply
    1,469,309,847.75x = 3,196,890,180 × 3,196,890,180
  4. Step 4: Simplify right side
    1,469,309,847.75x = 10,220,106,822,980,431,872
  5. Step 5: Solve for x
    x = 10,220,106,822,980,431,872/1,469,309,847.75
  6. Step 6: Final answer
    x = 6,955,719,270.94

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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.