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Finding the Third Proportional to 9,330,503,844 and 20,562,861,576

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Solution

The third proportional to 9,330,503,844 and 20,562,861,576 is: 45,317,089,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330,503,844 : 20,562,861,576 = 20,562,861,576 : x
  2. Step 2: Convert to fraction form
    9,330,503,844/20,562,861,576 = 20,562,861,576/x
  3. Step 3: Cross multiply
    9,330,503,844x = 20,562,861,576 × 20,562,861,576
  4. Step 4: Simplify right side
    9,330,503,844x = 422,831,276,193,737,211,904
  5. Step 5: Solve for x
    x = 422,831,276,193,737,211,904/9,330,503,844
  6. Step 6: Final answer
    x = 45,317,089,330.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.