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Finding the Third Proportional to 23,879,735.75 and 51,165,052

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Solution

The third proportional to 23,879,735.75 and 51,165,052 is: 109,626,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,879,735.75 : 51,165,052 = 51,165,052 : x
  2. Step 2: Convert to fraction form
    23,879,735.75/51,165,052 = 51,165,052/x
  3. Step 3: Cross multiply
    23,879,735.75x = 51,165,052 × 51,165,052
  4. Step 4: Simplify right side
    23,879,735.75x = 2,617,862,546,162,704
  5. Step 5: Solve for x
    x = 2,617,862,546,162,704/23,879,735.75
  6. Step 6: Final answer
    x = 109,626,947.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.