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Finding the Third Proportional to 35,321,452,560 and 54,291,605,001

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Solution

The third proportional to 35,321,452,560 and 54,291,605,001 is: 83,450,089,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321,452,560 : 54,291,605,001 = 54,291,605,001 : x
  2. Step 2: Convert to fraction form
    35,321,452,560/54,291,605,001 = 54,291,605,001/x
  3. Step 3: Cross multiply
    35,321,452,560x = 54,291,605,001 × 54,291,605,001
  4. Step 4: Simplify right side
    35,321,452,560x = 2,947,578,373,584,608,296,960
  5. Step 5: Solve for x
    x = 2,947,578,373,584,608,296,960/35,321,452,560
  6. Step 6: Final answer
    x = 83,450,089,391.92

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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.