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Finding the Third Proportional to 17,893,297,840 and 26,684,778,120

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Solution

The third proportional to 17,893,297,840 and 26,684,778,120 is: 39,795,759,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,893,297,840 : 26,684,778,120 = 26,684,778,120 : x
  2. Step 2: Convert to fraction form
    17,893,297,840/26,684,778,120 = 26,684,778,120/x
  3. Step 3: Cross multiply
    17,893,297,840x = 26,684,778,120 × 26,684,778,120
  4. Step 4: Simplify right side
    17,893,297,840x = 712,077,383,313,630,691,328
  5. Step 5: Solve for x
    x = 712,077,383,313,630,691,328/17,893,297,840
  6. Step 6: Final answer
    x = 39,795,759,824.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.