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Finding the Third Proportional to 362,483,348,845.50 and 568,629,404,856

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Solution

The third proportional to 362,483,348,845.50 and 568,629,404,856 is: 892,011,732,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,483,348,845.50 : 568,629,404,856 = 568,629,404,856 : x
  2. Step 2: Convert to fraction form
    362,483,348,845.50/568,629,404,856 = 568,629,404,856/x
  3. Step 3: Cross multiply
    362,483,348,845.50x = 568,629,404,856 × 568,629,404,856
  4. Step 4: Simplify right side
    362,483,348,845.50x = 323,339,400,066,888,756,101,120
  5. Step 5: Solve for x
    x = 323,339,400,066,888,756,101,120/362,483,348,845.50
  6. Step 6: Final answer
    x = 892,011,732,667.77

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Why These Related Problems?

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