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Finding the Third Proportional to 16,864,616,278 and 36,632,416,004

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Solution

The third proportional to 16,864,616,278 and 36,632,416,004 is: 79,570,971,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864,616,278 : 36,632,416,004 = 36,632,416,004 : x
  2. Step 2: Convert to fraction form
    16,864,616,278/36,632,416,004 = 36,632,416,004/x
  3. Step 3: Cross multiply
    16,864,616,278x = 36,632,416,004 × 36,632,416,004
  4. Step 4: Simplify right side
    16,864,616,278x = 1,341,933,902,290,115,362,816
  5. Step 5: Solve for x
    x = 1,341,933,902,290,115,362,816/16,864,616,278
  6. Step 6: Final answer
    x = 79,570,971,563.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.