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Finding the Third Proportional to 8,517,015,544 and 18,533,772,012

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Solution

The third proportional to 8,517,015,544 and 18,533,772,012 is: 40,331,111,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517,015,544 : 18,533,772,012 = 18,533,772,012 : x
  2. Step 2: Convert to fraction form
    8,517,015,544/18,533,772,012 = 18,533,772,012/x
  3. Step 3: Cross multiply
    8,517,015,544x = 18,533,772,012 × 18,533,772,012
  4. Step 4: Simplify right side
    8,517,015,544x = 343,500,704,992,794,509,312
  5. Step 5: Solve for x
    x = 343,500,704,992,794,509,312/8,517,015,544
  6. Step 6: Final answer
    x = 40,331,111,669.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.