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Finding the Third Proportional to 746,178,144.75 and 1,597,176,571.50

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Solution

The third proportional to 746,178,144.75 and 1,597,176,571.50 is: 3,418,718,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,178,144.75 : 1,597,176,571.50 = 1,597,176,571.50 : x
  2. Step 2: Convert to fraction form
    746,178,144.75/1,597,176,571.50 = 1,597,176,571.50/x
  3. Step 3: Cross multiply
    746,178,144.75x = 1,597,176,571.50 × 1,597,176,571.50
  4. Step 4: Simplify right side
    746,178,144.75x = 2,550,973,000,548,494,848
  5. Step 5: Solve for x
    x = 2,550,973,000,548,494,848/746,178,144.75
  6. Step 6: Final answer
    x = 3,418,718,463.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.