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Finding the Third Proportional to 5,743,928,538 and 12,577,477,338

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Solution

The third proportional to 5,743,928,538 and 12,577,477,338 is: 27,540,895,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743,928,538 : 12,577,477,338 = 12,577,477,338 : x
  2. Step 2: Convert to fraction form
    5,743,928,538/12,577,477,338 = 12,577,477,338/x
  3. Step 3: Cross multiply
    5,743,928,538x = 12,577,477,338 × 12,577,477,338
  4. Step 4: Simplify right side
    5,743,928,538x = 158,192,936,187,903,574,016
  5. Step 5: Solve for x
    x = 158,192,936,187,903,574,016/5,743,928,538
  6. Step 6: Final answer
    x = 27,540,895,598.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.