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Finding the Third Proportional to 9,103,894,277,923 and 19,658,791,414,880

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Solution

The third proportional to 9,103,894,277,923 and 19,658,791,414,880 is: 42,450,853,238,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103,894,277,923 : 19,658,791,414,880 = 19,658,791,414,880 : x
  2. Step 2: Convert to fraction form
    9,103,894,277,923/19,658,791,414,880 = 19,658,791,414,880/x
  3. Step 3: Cross multiply
    9,103,894,277,923x = 19,658,791,414,880 × 19,658,791,414,880
  4. Step 4: Simplify right side
    9,103,894,277,923x = 386,468,079,893,759,568,476,372,992
  5. Step 5: Solve for x
    x = 386,468,079,893,759,568,476,372,992/9,103,894,277,923
  6. Step 6: Final answer
    x = 42,450,853,238,810.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.