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Finding the Third Proportional to 10,591,011,576 and 23,043,660,412.22

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Solution

The third proportional to 10,591,011,576 and 23,043,660,412.22 is: 50,137,825,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591,011,576 : 23,043,660,412.22 = 23,043,660,412.22 : x
  2. Step 2: Convert to fraction form
    10,591,011,576/23,043,660,412.22 = 23,043,660,412.22/x
  3. Step 3: Cross multiply
    10,591,011,576x = 23,043,660,412.22 × 23,043,660,412.22
  4. Step 4: Simplify right side
    10,591,011,576x = 531,010,285,193,622,978,560
  5. Step 5: Solve for x
    x = 531,010,285,193,622,978,560/10,591,011,576
  6. Step 6: Final answer
    x = 50,137,825,021.07

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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.