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Finding the Third Proportional to 11,478,268,568,052 and 25,296,173,832,408

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Solution

The third proportional to 11,478,268,568,052 and 25,296,173,832,408 is: 55,748,513,529,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478,268,568,052 : 25,296,173,832,408 = 25,296,173,832,408 : x
  2. Step 2: Convert to fraction form
    11,478,268,568,052/25,296,173,832,408 = 25,296,173,832,408/x
  3. Step 3: Cross multiply
    11,478,268,568,052x = 25,296,173,832,408 × 25,296,173,832,408
  4. Step 4: Simplify right side
    11,478,268,568,052x = 639,896,410,559,403,297,653,915,648
  5. Step 5: Solve for x
    x = 639,896,410,559,403,297,653,915,648/11,478,268,568,052
  6. Step 6: Final answer
    x = 55,748,513,529,336.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.