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Finding the Third Proportional to 2,081,134,056 and 2,991,320,100

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Solution

The third proportional to 2,081,134,056 and 2,991,320,100 is: 4,299,576,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,134,056 : 2,991,320,100 = 2,991,320,100 : x
  2. Step 2: Convert to fraction form
    2,081,134,056/2,991,320,100 = 2,991,320,100/x
  3. Step 3: Cross multiply
    2,081,134,056x = 2,991,320,100 × 2,991,320,100
  4. Step 4: Simplify right side
    2,081,134,056x = 8,947,995,940,664,009,728
  5. Step 5: Solve for x
    x = 8,947,995,940,664,009,728/2,081,134,056
  6. Step 6: Final answer
    x = 4,299,576,913.30

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.