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Finding the Third Proportional to 2,681,749.69 and 5,820,661.69

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Solution

The third proportional to 2,681,749.69 and 5,820,661.69 is: 12,633,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681,749.69 : 5,820,661.69 = 5,820,661.69 : x
  2. Step 2: Convert to fraction form
    2,681,749.69/5,820,661.69 = 5,820,661.69/x
  3. Step 3: Cross multiply
    2,681,749.69x = 5,820,661.69 × 5,820,661.69
  4. Step 4: Simplify right side
    2,681,749.69x = 33,880,102,480,330.35
  5. Step 5: Solve for x
    x = 33,880,102,480,330.35/2,681,749.69
  6. Step 6: Final answer
    x = 12,633,581.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.