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Finding the Third Proportional to 11,668,728,753 and 25,107,235,689.38

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Solution

The third proportional to 11,668,728,753 and 25,107,235,689.38 is: 54,022,447,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668,728,753 : 25,107,235,689.38 = 25,107,235,689.38 : x
  2. Step 2: Convert to fraction form
    11,668,728,753/25,107,235,689.38 = 25,107,235,689.38/x
  3. Step 3: Cross multiply
    11,668,728,753x = 25,107,235,689.38 × 25,107,235,689.38
  4. Step 4: Simplify right side
    11,668,728,753x = 630,373,283,961,825,787,904
  5. Step 5: Solve for x
    x = 630,373,283,961,825,787,904/11,668,728,753
  6. Step 6: Final answer
    x = 54,022,447,286.71

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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.