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Finding the Third Proportional to 12,477,142,352.25 and 27,743,995,659.38

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Solution

The third proportional to 12,477,142,352.25 and 27,743,995,659.38 is: 61,691,152,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477,142,352.25 : 27,743,995,659.38 = 27,743,995,659.38 : x
  2. Step 2: Convert to fraction form
    12,477,142,352.25/27,743,995,659.38 = 27,743,995,659.38/x
  3. Step 3: Cross multiply
    12,477,142,352.25x = 27,743,995,659.38 × 27,743,995,659.38
  4. Step 4: Simplify right side
    12,477,142,352.25x = 769,729,295,147,418,779,648
  5. Step 5: Solve for x
    x = 769,729,295,147,418,779,648/12,477,142,352.25
  6. Step 6: Final answer
    x = 61,691,152,782.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.