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Finding the Third Proportional to 359,198,112.75 and 774,463,251

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Solution

The third proportional to 359,198,112.75 and 774,463,251 is: 1,669,812,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,198,112.75 : 774,463,251 = 774,463,251 : x
  2. Step 2: Convert to fraction form
    359,198,112.75/774,463,251 = 774,463,251/x
  3. Step 3: Cross multiply
    359,198,112.75x = 774,463,251 × 774,463,251
  4. Step 4: Simplify right side
    359,198,112.75x = 599,793,327,149,489,024
  5. Step 5: Solve for x
    x = 599,793,327,149,489,024/359,198,112.75
  6. Step 6: Final answer
    x = 1,669,812,022.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.