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Finding the Third Proportional to 2,535,623 and 5,638,173

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Solution

The third proportional to 2,535,623 and 5,638,173 is: 12,536,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535,623 : 5,638,173 = 5,638,173 : x
  2. Step 2: Convert to fraction form
    2,535,623/5,638,173 = 5,638,173/x
  3. Step 3: Cross multiply
    2,535,623x = 5,638,173 × 5,638,173
  4. Step 4: Simplify right side
    2,535,623x = 31,788,994,777,929
  5. Step 5: Solve for x
    x = 31,788,994,777,929/2,535,623
  6. Step 6: Final answer
    x = 12,536,956.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.