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Finding the Third Proportional to 18,401,686,380 and 26,314,614,018

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Solution

The third proportional to 18,401,686,380 and 26,314,614,018 is: 37,630,187,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,401,686,380 : 26,314,614,018 = 26,314,614,018 : x
  2. Step 2: Convert to fraction form
    18,401,686,380/26,314,614,018 = 26,314,614,018/x
  3. Step 3: Cross multiply
    18,401,686,380x = 26,314,614,018 × 26,314,614,018
  4. Step 4: Simplify right side
    18,401,686,380x = 692,458,910,916,322,131,968
  5. Step 5: Solve for x
    x = 692,458,910,916,322,131,968/18,401,686,380
  6. Step 6: Final answer
    x = 37,630,187,615.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.