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Finding the Third Proportional to 11,188,273,104 and 16,778,301,336

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Solution

The third proportional to 11,188,273,104 and 16,778,301,336 is: 25,161,291,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188,273,104 : 16,778,301,336 = 16,778,301,336 : x
  2. Step 2: Convert to fraction form
    11,188,273,104/16,778,301,336 = 16,778,301,336/x
  3. Step 3: Cross multiply
    11,188,273,104x = 16,778,301,336 × 16,778,301,336
  4. Step 4: Simplify right side
    11,188,273,104x = 281,511,395,721,619,374,080
  5. Step 5: Solve for x
    x = 281,511,395,721,619,374,080/11,188,273,104
  6. Step 6: Final answer
    x = 25,161,291,032.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.