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Finding the Third Proportional to 1,269,620,604 and 2,751,111,936

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Solution

The third proportional to 1,269,620,604 and 2,751,111,936 is: 5,961,321,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,620,604 : 2,751,111,936 = 2,751,111,936 : x
  2. Step 2: Convert to fraction form
    1,269,620,604/2,751,111,936 = 2,751,111,936/x
  3. Step 3: Cross multiply
    1,269,620,604x = 2,751,111,936 × 2,751,111,936
  4. Step 4: Simplify right side
    1,269,620,604x = 7,568,616,884,401,668,096
  5. Step 5: Solve for x
    x = 7,568,616,884,401,668,096/1,269,620,604
  6. Step 6: Final answer
    x = 5,961,321,721.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.