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Finding the Third Proportional to 2,389,164.75 and 5,158,680.75

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Solution

The third proportional to 2,389,164.75 and 5,158,680.75 is: 11,138,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,164.75 : 5,158,680.75 = 5,158,680.75 : x
  2. Step 2: Convert to fraction form
    2,389,164.75/5,158,680.75 = 5,158,680.75/x
  3. Step 3: Cross multiply
    2,389,164.75x = 5,158,680.75 × 5,158,680.75
  4. Step 4: Simplify right side
    2,389,164.75x = 26,611,987,080,420.56
  5. Step 5: Solve for x
    x = 26,611,987,080,420.56/2,389,164.75
  6. Step 6: Final answer
    x = 11,138,615.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.