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Finding the Third Proportional to 23,879,749.50 and 51,165,083.53

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Solution

The third proportional to 23,879,749.50 and 51,165,083.53 is: 109,627,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,879,749.50 : 51,165,083.53 = 51,165,083.53 : x
  2. Step 2: Convert to fraction form
    23,879,749.50/51,165,083.53 = 51,165,083.53/x
  3. Step 3: Cross multiply
    23,879,749.50x = 51,165,083.53 × 51,165,083.53
  4. Step 4: Simplify right side
    23,879,749.50x = 2,617,865,772,759,790
  5. Step 5: Solve for x
    x = 2,617,865,772,759,790/23,879,749.50
  6. Step 6: Final answer
    x = 109,627,019.86

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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.