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Finding the Third Proportional to 516,821,100 and 775,609,638

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Solution

The third proportional to 516,821,100 and 775,609,638 is: 1,163,981,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,821,100 : 775,609,638 = 775,609,638 : x
  2. Step 2: Convert to fraction form
    516,821,100/775,609,638 = 775,609,638/x
  3. Step 3: Cross multiply
    516,821,100x = 775,609,638 × 775,609,638
  4. Step 4: Simplify right side
    516,821,100x = 601,570,310,558,491,008
  5. Step 5: Solve for x
    x = 601,570,310,558,491,008/516,821,100
  6. Step 6: Final answer
    x = 1,163,981,715.45

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