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Finding the Third Proportional to 68,131,340,008 and 149,106,467,336

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Solution

The third proportional to 68,131,340,008 and 149,106,467,336 is: 326,321,757,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,131,340,008 : 149,106,467,336 = 149,106,467,336 : x
  2. Step 2: Convert to fraction form
    68,131,340,008/149,106,467,336 = 149,106,467,336/x
  3. Step 3: Cross multiply
    68,131,340,008x = 149,106,467,336 × 149,106,467,336
  4. Step 4: Simplify right side
    68,131,340,008x = 22,232,738,601,421,634,535,424
  5. Step 5: Solve for x
    x = 22,232,738,601,421,634,535,424/68,131,340,008
  6. Step 6: Final answer
    x = 326,321,757,341.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.