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Finding the Third Proportional to 513,519,264 and 1,093,444,042.50

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Solution

The third proportional to 513,519,264 and 1,093,444,042.50 is: 2,328,286,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,519,264 : 1,093,444,042.50 = 1,093,444,042.50 : x
  2. Step 2: Convert to fraction form
    513,519,264/1,093,444,042.50 = 1,093,444,042.50/x
  3. Step 3: Cross multiply
    513,519,264x = 1,093,444,042.50 × 1,093,444,042.50
  4. Step 4: Simplify right side
    513,519,264x = 1,195,619,874,078,741,760
  5. Step 5: Solve for x
    x = 1,195,619,874,078,741,760/513,519,264
  6. Step 6: Final answer
    x = 2,328,286,313.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.