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Finding the Third Proportional to 11,188,273,158 and 16,778,301,408

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Solution

The third proportional to 11,188,273,158 and 16,778,301,408 is: 25,161,291,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188,273,158 : 16,778,301,408 = 16,778,301,408 : x
  2. Step 2: Convert to fraction form
    11,188,273,158/16,778,301,408 = 16,778,301,408/x
  3. Step 3: Cross multiply
    11,188,273,158x = 16,778,301,408 × 16,778,301,408
  4. Step 4: Simplify right side
    11,188,273,158x = 281,511,398,137,694,781,440
  5. Step 5: Solve for x
    x = 281,511,398,137,694,781,440/11,188,273,158
  6. Step 6: Final answer
    x = 25,161,291,127.08

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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.