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Finding the Third Proportional to 362,483,348,848 and 568,629,404,859

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Solution

The third proportional to 362,483,348,848 and 568,629,404,859 is: 892,011,732,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,483,348,848 : 568,629,404,859 = 568,629,404,859 : x
  2. Step 2: Convert to fraction form
    362,483,348,848/568,629,404,859 = 568,629,404,859/x
  3. Step 3: Cross multiply
    362,483,348,848x = 568,629,404,859 × 568,629,404,859
  4. Step 4: Simplify right side
    362,483,348,848x = 323,339,400,070,300,503,638,016
  5. Step 5: Solve for x
    x = 323,339,400,070,300,503,638,016/362,483,348,848
  6. Step 6: Final answer
    x = 892,011,732,671.03

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.