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Finding the Third Proportional to 538,043,839,118 and 1,185,758,148,378

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Solution

The third proportional to 538,043,839,118 and 1,185,758,148,378 is: 2,613,211,571,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,043,839,118 : 1,185,758,148,378 = 1,185,758,148,378 : x
  2. Step 2: Convert to fraction form
    538,043,839,118/1,185,758,148,378 = 1,185,758,148,378/x
  3. Step 3: Cross multiply
    538,043,839,118x = 1,185,758,148,378 × 1,185,758,148,378
  4. Step 4: Simplify right side
    538,043,839,118x = 1,406,022,386,444,823,175,364,608
  5. Step 5: Solve for x
    x = 1,406,022,386,444,823,175,364,608/538,043,839,118
  6. Step 6: Final answer
    x = 2,613,211,571,662.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.