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Finding the Third Proportional to 548,077,325,668 and 1,141,259,096,849

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Solution

The third proportional to 548,077,325,668 and 1,141,259,096,849 is: 2,376,438,989,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,077,325,668 : 1,141,259,096,849 = 1,141,259,096,849 : x
  2. Step 2: Convert to fraction form
    548,077,325,668/1,141,259,096,849 = 1,141,259,096,849/x
  3. Step 3: Cross multiply
    548,077,325,668x = 1,141,259,096,849 × 1,141,259,096,849
  4. Step 4: Simplify right side
    548,077,325,668x = 1,302,472,326,140,595,101,761,536
  5. Step 5: Solve for x
    x = 1,302,472,326,140,595,101,761,536/548,077,325,668
  6. Step 6: Final answer
    x = 2,376,438,989,796.07

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.