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Finding the Third Proportional to 9,358,894,219,359 and 20,379,268,299,390

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Solution

The third proportional to 9,358,894,219,359 and 20,379,268,299,390 is: 44,376,458,017,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358,894,219,359 : 20,379,268,299,390 = 20,379,268,299,390 : x
  2. Step 2: Convert to fraction form
    9,358,894,219,359/20,379,268,299,390 = 20,379,268,299,390/x
  3. Step 3: Cross multiply
    9,358,894,219,359x = 20,379,268,299,390 × 20,379,268,299,390
  4. Step 4: Simplify right side
    9,358,894,219,359x = 415,314,576,418,522,213,323,374,592
  5. Step 5: Solve for x
    x = 415,314,576,418,522,213,323,374,592/9,358,894,219,359
  6. Step 6: Final answer
    x = 44,376,458,017,811.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.