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Finding the Third Proportional to 8,589,764.81 and 18,524,534.63

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Solution

The third proportional to 8,589,764.81 and 18,524,534.63 is: 39,949,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589,764.81 : 18,524,534.63 = 18,524,534.63 : x
  2. Step 2: Convert to fraction form
    8,589,764.81/18,524,534.63 = 18,524,534.63/x
  3. Step 3: Cross multiply
    8,589,764.81x = 18,524,534.63 × 18,524,534.63
  4. Step 4: Simplify right side
    8,589,764.81x = 343,158,383,072,823.88
  5. Step 5: Solve for x
    x = 343,158,383,072,823.88/8,589,764.81
  6. Step 6: Final answer
    x = 39,949,683.21

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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.