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Finding the Third Proportional to 27,473,096 and 54,254,740

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Solution

The third proportional to 27,473,096 and 54,254,740 is: 107,143,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473,096 : 54,254,740 = 54,254,740 : x
  2. Step 2: Convert to fraction form
    27,473,096/54,254,740 = 54,254,740/x
  3. Step 3: Cross multiply
    27,473,096x = 54,254,740 × 54,254,740
  4. Step 4: Simplify right side
    27,473,096x = 2,943,576,812,467,600
  5. Step 5: Solve for x
    x = 2,943,576,812,467,600/27,473,096
  6. Step 6: Final answer
    x = 107,143,978.69

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.