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Finding the Third Proportional to 7,720,786.69 and 16,638,247.13

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Solution

The third proportional to 7,720,786.69 and 16,638,247.13 is: 35,855,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720,786.69 : 16,638,247.13 = 16,638,247.13 : x
  2. Step 2: Convert to fraction form
    7,720,786.69/16,638,247.13 = 16,638,247.13/x
  3. Step 3: Cross multiply
    7,720,786.69x = 16,638,247.13 × 16,638,247.13
  4. Step 4: Simplify right side
    7,720,786.69x = 276,831,267,392,570.75
  5. Step 5: Solve for x
    x = 276,831,267,392,570.75/7,720,786.69
  6. Step 6: Final answer
    x = 35,855,318.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.