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Finding the Third Proportional to 2,272,764,405,784.40 and 4,945,627,002,770.80

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Solution

The third proportional to 2,272,764,405,784.40 and 4,945,627,002,770.80 is: 10,761,883,804,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,764,405,784.40 : 4,945,627,002,770.80 = 4,945,627,002,770.80 : x
  2. Step 2: Convert to fraction form
    2,272,764,405,784.40/4,945,627,002,770.80 = 4,945,627,002,770.80/x
  3. Step 3: Cross multiply
    2,272,764,405,784.40x = 4,945,627,002,770.80 × 4,945,627,002,770.80
  4. Step 4: Simplify right side
    2,272,764,405,784.40x = 24,459,226,450,535,682,613,968,896
  5. Step 5: Solve for x
    x = 24,459,226,450,535,682,613,968,896/2,272,764,405,784.40
  6. Step 6: Final answer
    x = 10,761,883,804,711.41

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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.