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Finding the Third Proportional to 19,014,468,574,826 and 41,186,311,987,642

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Solution

The third proportional to 19,014,468,574,826 and 41,186,311,987,642 is: 89,211,659,451,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,014,468,574,826 : 41,186,311,987,642 = 41,186,311,987,642 : x
  2. Step 2: Convert to fraction form
    19,014,468,574,826/41,186,311,987,642 = 41,186,311,987,642/x
  3. Step 3: Cross multiply
    19,014,468,574,826x = 41,186,311,987,642 × 41,186,311,987,642
  4. Step 4: Simplify right side
    19,014,468,574,826x = 1,696,312,295,143,383,223,253,336,064
  5. Step 5: Solve for x
    x = 1,696,312,295,143,383,223,253,336,064/19,014,468,574,826
  6. Step 6: Final answer
    x = 89,211,659,451,224.30

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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.