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Finding the Third Proportional to 3,597,362,676 and 8,021,875,176

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Solution

The third proportional to 3,597,362,676 and 8,021,875,176 is: 17,888,238,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597,362,676 : 8,021,875,176 = 8,021,875,176 : x
  2. Step 2: Convert to fraction form
    3,597,362,676/8,021,875,176 = 8,021,875,176/x
  3. Step 3: Cross multiply
    3,597,362,676x = 8,021,875,176 × 8,021,875,176
  4. Step 4: Simplify right side
    3,597,362,676x = 64,350,481,339,325,030,400
  5. Step 5: Solve for x
    x = 64,350,481,339,325,030,400/3,597,362,676
  6. Step 6: Final answer
    x = 17,888,238,449.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.