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Finding the Third Proportional to 11,388,419,202,510 and 24,952,566,295,656

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Solution

The third proportional to 11,388,419,202,510 and 24,952,566,295,656 is: 54,672,255,531,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388,419,202,510 : 24,952,566,295,656 = 24,952,566,295,656 : x
  2. Step 2: Convert to fraction form
    11,388,419,202,510/24,952,566,295,656 = 24,952,566,295,656/x
  3. Step 3: Cross multiply
    11,388,419,202,510x = 24,952,566,295,656 × 24,952,566,295,656
  4. Step 4: Simplify right side
    11,388,419,202,510x = 622,630,564,739,107,814,465,601,536
  5. Step 5: Solve for x
    x = 622,630,564,739,107,814,465,601,536/11,388,419,202,510
  6. Step 6: Final answer
    x = 54,672,255,531,468.36

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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.