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Finding the Third Proportional to 2,311,638 and 5,023,740

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Solution

The third proportional to 2,311,638 and 5,023,740 is: 10,917,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311,638 : 5,023,740 = 5,023,740 : x
  2. Step 2: Convert to fraction form
    2,311,638/5,023,740 = 5,023,740/x
  3. Step 3: Cross multiply
    2,311,638x = 5,023,740 × 5,023,740
  4. Step 4: Simplify right side
    2,311,638x = 25,237,963,587,600
  5. Step 5: Solve for x
    x = 25,237,963,587,600/2,311,638
  6. Step 6: Final answer
    x = 10,917,783.66

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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.