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Finding the Third Proportional to 734,274,319.50 and 1,138,634,493.75

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Solution

The third proportional to 734,274,319.50 and 1,138,634,493.75 is: 1,765,673,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,274,319.50 : 1,138,634,493.75 = 1,138,634,493.75 : x
  2. Step 2: Convert to fraction form
    734,274,319.50/1,138,634,493.75 = 1,138,634,493.75/x
  3. Step 3: Cross multiply
    734,274,319.50x = 1,138,634,493.75 × 1,138,634,493.75
  4. Step 4: Simplify right side
    734,274,319.50x = 1,296,488,510,357,318,912
  5. Step 5: Solve for x
    x = 1,296,488,510,357,318,912/734,274,319.50
  6. Step 6: Final answer
    x = 1,765,673,231.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.