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Finding the Third Proportional to 511,919,473.50 and 773,259,108.75

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Solution

The third proportional to 511,919,473.50 and 773,259,108.75 is: 1,168,015,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,919,473.50 : 773,259,108.75 = 773,259,108.75 : x
  2. Step 2: Convert to fraction form
    511,919,473.50/773,259,108.75 = 773,259,108.75/x
  3. Step 3: Cross multiply
    511,919,473.50x = 773,259,108.75 × 773,259,108.75
  4. Step 4: Simplify right side
    511,919,473.50x = 597,929,649,264,844,288
  5. Step 5: Solve for x
    x = 597,929,649,264,844,288/511,919,473.50
  6. Step 6: Final answer
    x = 1,168,015,049.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.