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Finding the Third Proportional to 383,449,371.38 and 828,189,750.75

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Solution

The third proportional to 383,449,371.38 and 828,189,750.75 is: 1,788,758,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,449,371.38 : 828,189,750.75 = 828,189,750.75 : x
  2. Step 2: Convert to fraction form
    383,449,371.38/828,189,750.75 = 828,189,750.75/x
  3. Step 3: Cross multiply
    383,449,371.38x = 828,189,750.75 × 828,189,750.75
  4. Step 4: Simplify right side
    383,449,371.38x = 685,898,263,247,347,072
  5. Step 5: Solve for x
    x = 685,898,263,247,347,072/383,449,371.38
  6. Step 6: Final answer
    x = 1,788,758,345.82

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