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Finding the Third Proportional to 8,694,542,118 and 19,097,152,010

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Solution

The third proportional to 8,694,542,118 and 19,097,152,010 is: 41,945,994,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694,542,118 : 19,097,152,010 = 19,097,152,010 : x
  2. Step 2: Convert to fraction form
    8,694,542,118/19,097,152,010 = 19,097,152,010/x
  3. Step 3: Cross multiply
    8,694,542,118x = 19,097,152,010 × 19,097,152,010
  4. Step 4: Simplify right side
    8,694,542,118x = 364,701,214,893,047,021,568
  5. Step 5: Solve for x
    x = 364,701,214,893,047,021,568/8,694,542,118
  6. Step 6: Final answer
    x = 41,945,994,388.60

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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.