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Finding the Third Proportional to 1,190,008,908 and 2,571,231,600

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Solution

The third proportional to 1,190,008,908 and 2,571,231,600 is: 5,555,615,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190,008,908 : 2,571,231,600 = 2,571,231,600 : x
  2. Step 2: Convert to fraction form
    1,190,008,908/2,571,231,600 = 2,571,231,600/x
  3. Step 3: Cross multiply
    1,190,008,908x = 2,571,231,600 × 2,571,231,600
  4. Step 4: Simplify right side
    1,190,008,908x = 6,611,231,940,838,559,744
  5. Step 5: Solve for x
    x = 6,611,231,940,838,559,744/1,190,008,908
  6. Step 6: Final answer
    x = 5,555,615,505.39

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Why These Related Problems?

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