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Finding the Third Proportional to 282,094,992 and 427,408,824

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Solution

The third proportional to 282,094,992 and 427,408,824 is: 647,577,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,094,992 : 427,408,824 = 427,408,824 : x
  2. Step 2: Convert to fraction form
    282,094,992/427,408,824 = 427,408,824/x
  3. Step 3: Cross multiply
    282,094,992x = 427,408,824 × 427,408,824
  4. Step 4: Simplify right side
    282,094,992x = 182,678,302,833,062,976
  5. Step 5: Solve for x
    x = 182,678,302,833,062,976/282,094,992
  6. Step 6: Final answer
    x = 647,577,263.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.