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Finding the Third Proportional to 35,321,452,562 and 54,291,605,004

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Solution

The third proportional to 35,321,452,562 and 54,291,605,004 is: 83,450,089,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321,452,562 : 54,291,605,004 = 54,291,605,004 : x
  2. Step 2: Convert to fraction form
    35,321,452,562/54,291,605,004 = 54,291,605,004/x
  3. Step 3: Cross multiply
    35,321,452,562x = 54,291,605,004 × 54,291,605,004
  4. Step 4: Simplify right side
    35,321,452,562x = 2,947,578,373,910,357,868,544
  5. Step 5: Solve for x
    x = 2,947,578,373,910,357,868,544/35,321,452,562
  6. Step 6: Final answer
    x = 83,450,089,396.42

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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.