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Finding the Third Proportional to 6,468,945,016 and 9,937,090,950

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Solution

The third proportional to 6,468,945,016 and 9,937,090,950 is: 15,264,587,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,945,016 : 9,937,090,950 = 9,937,090,950 : x
  2. Step 2: Convert to fraction form
    6,468,945,016/9,937,090,950 = 9,937,090,950/x
  3. Step 3: Cross multiply
    6,468,945,016x = 9,937,090,950 × 9,937,090,950
  4. Step 4: Simplify right side
    6,468,945,016x = 98,745,776,548,571,906,048
  5. Step 5: Solve for x
    x = 98,745,776,548,571,906,048/6,468,945,016
  6. Step 6: Final answer
    x = 15,264,587,394.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.