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Finding the Third Proportional to 257,438,863,892 and 554,222,400,040

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Solution

The third proportional to 257,438,863,892 and 554,222,400,040 is: 1,193,147,235,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,438,863,892 : 554,222,400,040 = 554,222,400,040 : x
  2. Step 2: Convert to fraction form
    257,438,863,892/554,222,400,040 = 554,222,400,040/x
  3. Step 3: Cross multiply
    257,438,863,892x = 554,222,400,040 × 554,222,400,040
  4. Step 4: Simplify right side
    257,438,863,892x = 307,162,468,706,097,823,744,000
  5. Step 5: Solve for x
    x = 307,162,468,706,097,823,744,000/257,438,863,892
  6. Step 6: Final answer
    x = 1,193,147,235,278.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.