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Finding the Third Proportional to 5,534,735.25 and 11,423,157.75

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Solution

The third proportional to 5,534,735.25 and 11,423,157.75 is: 23,576,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534,735.25 : 11,423,157.75 = 11,423,157.75 : x
  2. Step 2: Convert to fraction form
    5,534,735.25/11,423,157.75 = 11,423,157.75/x
  3. Step 3: Cross multiply
    5,534,735.25x = 11,423,157.75 × 11,423,157.75
  4. Step 4: Simplify right side
    5,534,735.25x = 130,488,532,981,385.06
  5. Step 5: Solve for x
    x = 130,488,532,981,385.06/5,534,735.25
  6. Step 6: Final answer
    x = 23,576,291.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.