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Finding the Third Proportional to 2,144,691,684 and 4,628,129,256

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Solution

The third proportional to 2,144,691,684 and 4,628,129,256 is: 9,987,253,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,691,684 : 4,628,129,256 = 4,628,129,256 : x
  2. Step 2: Convert to fraction form
    2,144,691,684/4,628,129,256 = 4,628,129,256/x
  3. Step 3: Cross multiply
    2,144,691,684x = 4,628,129,256 × 4,628,129,256
  4. Step 4: Simplify right side
    2,144,691,684x = 21,419,580,410,243,112,960
  5. Step 5: Solve for x
    x = 21,419,580,410,243,112,960/2,144,691,684
  6. Step 6: Final answer
    x = 9,987,253,911.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.