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Finding the Third Proportional to 12,106,542,328 and 17,041,250,326

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Solution

The third proportional to 12,106,542,328 and 17,041,250,326 is: 23,987,378,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106,542,328 : 17,041,250,326 = 17,041,250,326 : x
  2. Step 2: Convert to fraction form
    12,106,542,328/17,041,250,326 = 17,041,250,326/x
  3. Step 3: Cross multiply
    12,106,542,328x = 17,041,250,326 × 17,041,250,326
  4. Step 4: Simplify right side
    12,106,542,328x = 290,404,212,673,395,097,600
  5. Step 5: Solve for x
    x = 290,404,212,673,395,097,600/12,106,542,328
  6. Step 6: Final answer
    x = 23,987,378,460.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.