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Finding the Third Proportional to 2,382,801,858 and 5,194,642,113

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Solution

The third proportional to 2,382,801,858 and 5,194,642,113 is: 11,324,612,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382,801,858 : 5,194,642,113 = 5,194,642,113 : x
  2. Step 2: Convert to fraction form
    2,382,801,858/5,194,642,113 = 5,194,642,113/x
  3. Step 3: Cross multiply
    2,382,801,858x = 5,194,642,113 × 5,194,642,113
  4. Step 4: Simplify right side
    2,382,801,858x = 26,984,306,682,153,103,360
  5. Step 5: Solve for x
    x = 26,984,306,682,153,103,360/2,382,801,858
  6. Step 6: Final answer
    x = 11,324,612,070.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.