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Finding the Third Proportional to 675,319,322 and 1,463,351,827

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Solution

The third proportional to 675,319,322 and 1,463,351,827 is: 3,170,942,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,319,322 : 1,463,351,827 = 1,463,351,827 : x
  2. Step 2: Convert to fraction form
    675,319,322/1,463,351,827 = 1,463,351,827/x
  3. Step 3: Cross multiply
    675,319,322x = 1,463,351,827 × 1,463,351,827
  4. Step 4: Simplify right side
    675,319,322x = 2,141,398,569,584,237,824
  5. Step 5: Solve for x
    x = 2,141,398,569,584,237,824/675,319,322
  6. Step 6: Final answer
    x = 3,170,942,248.83

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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.