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Finding the Third Proportional to 3,583,331,400 and 5,563,658,704

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Solution

The third proportional to 3,583,331,400 and 5,563,658,704 is: 8,638,413,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583,331,400 : 5,563,658,704 = 5,563,658,704 : x
  2. Step 2: Convert to fraction form
    3,583,331,400/5,563,658,704 = 5,563,658,704/x
  3. Step 3: Cross multiply
    3,583,331,400x = 5,563,658,704 × 5,563,658,704
  4. Step 4: Simplify right side
    3,583,331,400x = 30,954,298,174,594,961,408
  5. Step 5: Solve for x
    x = 30,954,298,174,594,961,408/3,583,331,400
  6. Step 6: Final answer
    x = 8,638,413,453.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.