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Finding the Third Proportional to 3,305,645,692,164.20 and 7,191,664,100,672.40

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Solution

The third proportional to 3,305,645,692,164.20 and 7,191,664,100,672.40 is: 15,645,969,760,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305,645,692,164.20 : 7,191,664,100,672.40 = 7,191,664,100,672.40 : x
  2. Step 2: Convert to fraction form
    3,305,645,692,164.20/7,191,664,100,672.40 = 7,191,664,100,672.40/x
  3. Step 3: Cross multiply
    3,305,645,692,164.20x = 7,191,664,100,672.40 × 7,191,664,100,672.40
  4. Step 4: Simplify right side
    3,305,645,692,164.20x = 51,720,032,536,900,168,755,183,616
  5. Step 5: Solve for x
    x = 51,720,032,536,900,168,755,183,616/3,305,645,692,164.20
  6. Step 6: Final answer
    x = 15,645,969,760,007.51

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