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Finding the Third Proportional to 933,062,182.88 and 2,004,593,313.75

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Solution

The third proportional to 933,062,182.88 and 2,004,593,313.75 is: 4,306,673,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,062,182.88 : 2,004,593,313.75 = 2,004,593,313.75 : x
  2. Step 2: Convert to fraction form
    933,062,182.88/2,004,593,313.75 = 2,004,593,313.75/x
  3. Step 3: Cross multiply
    933,062,182.88x = 2,004,593,313.75 × 2,004,593,313.75
  4. Step 4: Simplify right side
    933,062,182.88x = 4,018,394,353,531,206,144
  5. Step 5: Solve for x
    x = 4,018,394,353,531,206,144/933,062,182.88
  6. Step 6: Final answer
    x = 4,306,673,689.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.