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Finding the Third Proportional to 726,211,775,156.12 and 1,589,225,930,005

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Solution

The third proportional to 726,211,775,156.12 and 1,589,225,930,005 is: 3,477,827,188,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,211,775,156.12 : 1,589,225,930,005 = 1,589,225,930,005 : x
  2. Step 2: Convert to fraction form
    726,211,775,156.12/1,589,225,930,005 = 1,589,225,930,005/x
  3. Step 3: Cross multiply
    726,211,775,156.12x = 1,589,225,930,005 × 1,589,225,930,005
  4. Step 4: Simplify right side
    726,211,775,156.12x = 2,525,639,056,600,257,412,464,640
  5. Step 5: Solve for x
    x = 2,525,639,056,600,257,412,464,640/726,211,775,156.12
  6. Step 6: Final answer
    x = 3,477,827,188,986.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.