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Finding the Third Proportional to 11,388,419,202,546 and 24,952,566,295,728

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Solution

The third proportional to 11,388,419,202,546 and 24,952,566,295,728 is: 54,672,255,531,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388,419,202,546 : 24,952,566,295,728 = 24,952,566,295,728 : x
  2. Step 2: Convert to fraction form
    11,388,419,202,546/24,952,566,295,728 = 24,952,566,295,728/x
  3. Step 3: Cross multiply
    11,388,419,202,546x = 24,952,566,295,728 × 24,952,566,295,728
  4. Step 4: Simplify right side
    11,388,419,202,546x = 622,630,564,742,701,018,465,173,504
  5. Step 5: Solve for x
    x = 622,630,564,742,701,018,465,173,504/11,388,419,202,546
  6. Step 6: Final answer
    x = 54,672,255,531,611.05

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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.