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Finding the Third Proportional to 5,591,930,985 and 8,682,538,898.25

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Solution

The third proportional to 5,591,930,985 and 8,682,538,898.25 is: 13,481,296,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591,930,985 : 8,682,538,898.25 = 8,682,538,898.25 : x
  2. Step 2: Convert to fraction form
    5,591,930,985/8,682,538,898.25 = 8,682,538,898.25/x
  3. Step 3: Cross multiply
    5,591,930,985x = 8,682,538,898.25 × 8,682,538,898.25
  4. Step 4: Simplify right side
    5,591,930,985x = 75,386,481,719,624,318,976
  5. Step 5: Solve for x
    x = 75,386,481,719,624,318,976/5,591,930,985
  6. Step 6: Final answer
    x = 13,481,296,876.13

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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.