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Finding the Third Proportional to 4,010,968,886,815.20 and 8,809,904,132,580.60

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Solution

The third proportional to 4,010,968,886,815.20 and 8,809,904,132,580.60 is: 19,350,539,237,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010,968,886,815.20 : 8,809,904,132,580.60 = 8,809,904,132,580.60 : x
  2. Step 2: Convert to fraction form
    4,010,968,886,815.20/8,809,904,132,580.60 = 8,809,904,132,580.60/x
  3. Step 3: Cross multiply
    4,010,968,886,815.20x = 8,809,904,132,580.60 × 8,809,904,132,580.60
  4. Step 4: Simplify right side
    4,010,968,886,815.20x = 77,614,410,825,260,719,637,790,720
  5. Step 5: Solve for x
    x = 77,614,410,825,260,719,637,790,720/4,010,968,886,815.20
  6. Step 6: Final answer
    x = 19,350,539,237,637.50

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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.