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Finding the Third Proportional to 1,194,350,953.50 and 1,791,526,658.06

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Solution

The third proportional to 1,194,350,953.50 and 1,791,526,658.06 is: 2,687,290,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,350,953.50 : 1,791,526,658.06 = 1,791,526,658.06 : x
  2. Step 2: Convert to fraction form
    1,194,350,953.50/1,791,526,658.06 = 1,791,526,658.06/x
  3. Step 3: Cross multiply
    1,194,350,953.50x = 1,791,526,658.06 × 1,791,526,658.06
  4. Step 4: Simplify right side
    1,194,350,953.50x = 3,209,567,766,548,589,568
  5. Step 5: Solve for x
    x = 3,209,567,766,548,589,568/1,194,350,953.50
  6. Step 6: Final answer
    x = 2,687,290,328.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.