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Finding the Third Proportional to 35,321,452,568 and 54,291,605,014

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Solution

The third proportional to 35,321,452,568 and 54,291,605,014 is: 83,450,089,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321,452,568 : 54,291,605,014 = 54,291,605,014 : x
  2. Step 2: Convert to fraction form
    35,321,452,568/54,291,605,014 = 54,291,605,014/x
  3. Step 3: Cross multiply
    35,321,452,568x = 54,291,605,014 × 54,291,605,014
  4. Step 4: Simplify right side
    35,321,452,568x = 2,947,578,374,996,189,773,824
  5. Step 5: Solve for x
    x = 2,947,578,374,996,189,773,824/35,321,452,568
  6. Step 6: Final answer
    x = 83,450,089,412.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.