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Finding the Third Proportional to 395,168,628,192 and 533,175,258,276

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Solution

The third proportional to 395,168,628,192 and 533,175,258,276 is: 719,378,603,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,168,628,192 : 533,175,258,276 = 533,175,258,276 : x
  2. Step 2: Convert to fraction form
    395,168,628,192/533,175,258,276 = 533,175,258,276/x
  3. Step 3: Cross multiply
    395,168,628,192x = 533,175,258,276 × 533,175,258,276
  4. Step 4: Simplify right side
    395,168,628,192x = 284,275,856,037,679,317,647,360
  5. Step 5: Solve for x
    x = 284,275,856,037,679,317,647,360/395,168,628,192
  6. Step 6: Final answer
    x = 719,378,603,859.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.