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Finding the Third Proportional to 2,707,705.50 and 5,946,882

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Solution

The third proportional to 2,707,705.50 and 5,946,882 is: 13,061,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,705.50 : 5,946,882 = 5,946,882 : x
  2. Step 2: Convert to fraction form
    2,707,705.50/5,946,882 = 5,946,882/x
  3. Step 3: Cross multiply
    2,707,705.50x = 5,946,882 × 5,946,882
  4. Step 4: Simplify right side
    2,707,705.50x = 35,365,405,521,924
  5. Step 5: Solve for x
    x = 35,365,405,521,924/2,707,705.50
  6. Step 6: Final answer
    x = 13,061,023.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.