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Finding the Third Proportional to 18,728,464,200.75 and 27,059,396,591.25

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Solution

The third proportional to 18,728,464,200.75 and 27,059,396,591.25 is: 39,096,155,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,728,464,200.75 : 27,059,396,591.25 = 27,059,396,591.25 : x
  2. Step 2: Convert to fraction form
    18,728,464,200.75/27,059,396,591.25 = 27,059,396,591.25/x
  3. Step 3: Cross multiply
    18,728,464,200.75x = 27,059,396,591.25 × 27,059,396,591.25
  4. Step 4: Simplify right side
    18,728,464,200.75x = 732,210,943,882,552,147,968
  5. Step 5: Solve for x
    x = 732,210,943,882,552,147,968/18,728,464,200.75
  6. Step 6: Final answer
    x = 39,096,155,244.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.