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Finding the Third Proportional to 799,591,803.75 and 1,782,931,474.69

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Solution

The third proportional to 799,591,803.75 and 1,782,931,474.69 is: 3,975,584,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,591,803.75 : 1,782,931,474.69 = 1,782,931,474.69 : x
  2. Step 2: Convert to fraction form
    799,591,803.75/1,782,931,474.69 = 1,782,931,474.69/x
  3. Step 3: Cross multiply
    799,591,803.75x = 1,782,931,474.69 × 1,782,931,474.69
  4. Step 4: Simplify right side
    799,591,803.75x = 3,178,844,643,431,343,616
  5. Step 5: Solve for x
    x = 3,178,844,643,431,343,616/799,591,803.75
  6. Step 6: Final answer
    x = 3,975,584,327.56

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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.