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Finding the Third Proportional to 3,538,643,900.63 and 5,494,419,258.19

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Solution

The third proportional to 3,538,643,900.63 and 5,494,419,258.19 is: 8,531,133,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538,643,900.63 : 5,494,419,258.19 = 5,494,419,258.19 : x
  2. Step 2: Convert to fraction form
    3,538,643,900.63/5,494,419,258.19 = 5,494,419,258.19/x
  3. Step 3: Cross multiply
    3,538,643,900.63x = 5,494,419,258.19 × 5,494,419,258.19
  4. Step 4: Simplify right side
    3,538,643,900.63x = 30,188,642,984,741,679,104
  5. Step 5: Solve for x
    x = 30,188,642,984,741,679,104/3,538,643,900.63
  6. Step 6: Final answer
    x = 8,531,133,347.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.