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Finding the Third Proportional to 2,662,175.91 and 5,749,984.67

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Solution

The third proportional to 2,662,175.91 and 5,749,984.67 is: 12,419,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662,175.91 : 5,749,984.67 = 5,749,984.67 : x
  2. Step 2: Convert to fraction form
    2,662,175.91/5,749,984.67 = 5,749,984.67/x
  3. Step 3: Cross multiply
    2,662,175.91x = 5,749,984.67 × 5,749,984.67
  4. Step 4: Simplify right side
    2,662,175.91x = 33,062,323,758,034.82
  5. Step 5: Solve for x
    x = 33,062,323,758,034.82/2,662,175.91
  6. Step 6: Final answer
    x = 12,419,285.92

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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.