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Finding the Third Proportional to 21,984,136.50 and 46,987,257

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Solution

The third proportional to 21,984,136.50 and 46,987,257 is: 100,427,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984,136.50 : 46,987,257 = 46,987,257 : x
  2. Step 2: Convert to fraction form
    21,984,136.50/46,987,257 = 46,987,257/x
  3. Step 3: Cross multiply
    21,984,136.50x = 46,987,257 × 46,987,257
  4. Step 4: Simplify right side
    21,984,136.50x = 2,207,802,320,384,049
  5. Step 5: Solve for x
    x = 2,207,802,320,384,049/21,984,136.50
  6. Step 6: Final answer
    x = 100,427,065.69

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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.