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Finding the Third Proportional to 5,740,096 and 8,887,414

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Solution

The third proportional to 5,740,096 and 8,887,414 is: 13,760,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,096 : 8,887,414 = 8,887,414 : x
  2. Step 2: Convert to fraction form
    5,740,096/8,887,414 = 8,887,414/x
  3. Step 3: Cross multiply
    5,740,096x = 8,887,414 × 8,887,414
  4. Step 4: Simplify right side
    5,740,096x = 78,986,127,607,396
  5. Step 5: Solve for x
    x = 78,986,127,607,396/5,740,096
  6. Step 6: Final answer
    x = 13,760,419.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.