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Finding the Third Proportional to 10,149,694.50 and 21,982,284

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Solution

The third proportional to 10,149,694.50 and 21,982,284 is: 47,609,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,694.50 : 21,982,284 = 21,982,284 : x
  2. Step 2: Convert to fraction form
    10,149,694.50/21,982,284 = 21,982,284/x
  3. Step 3: Cross multiply
    10,149,694.50x = 21,982,284 × 21,982,284
  4. Step 4: Simplify right side
    10,149,694.50x = 483,220,809,856,656
  5. Step 5: Solve for x
    x = 483,220,809,856,656/10,149,694.50
  6. Step 6: Final answer
    x = 47,609,394.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.