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Finding the Third Proportional to 751,485,996 and 1,524,102,072

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Solution

The third proportional to 751,485,996 and 1,524,102,072 is: 3,091,058,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,485,996 : 1,524,102,072 = 1,524,102,072 : x
  2. Step 2: Convert to fraction form
    751,485,996/1,524,102,072 = 1,524,102,072/x
  3. Step 3: Cross multiply
    751,485,996x = 1,524,102,072 × 1,524,102,072
  4. Step 4: Simplify right side
    751,485,996x = 2,322,887,125,874,693,120
  5. Step 5: Solve for x
    x = 2,322,887,125,874,693,120/751,485,996
  6. Step 6: Final answer
    x = 3,091,058,433.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.