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Finding the Third Proportional to 751,485,988 and 1,524,102,056

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Solution

The third proportional to 751,485,988 and 1,524,102,056 is: 3,091,058,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,485,988 : 1,524,102,056 = 1,524,102,056 : x
  2. Step 2: Convert to fraction form
    751,485,988/1,524,102,056 = 1,524,102,056/x
  3. Step 3: Cross multiply
    751,485,988x = 1,524,102,056 × 1,524,102,056
  4. Step 4: Simplify right side
    751,485,988x = 2,322,887,077,103,427,072
  5. Step 5: Solve for x
    x = 2,322,887,077,103,427,072/751,485,988
  6. Step 6: Final answer
    x = 3,091,058,401.88

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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.