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Finding the Third Proportional to 3,066,629.63 and 4,761,721.69

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Solution

The third proportional to 3,066,629.63 and 4,761,721.69 is: 7,393,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,629.63 : 4,761,721.69 = 4,761,721.69 : x
  2. Step 2: Convert to fraction form
    3,066,629.63/4,761,721.69 = 4,761,721.69/x
  3. Step 3: Cross multiply
    3,066,629.63x = 4,761,721.69 × 4,761,721.69
  4. Step 4: Simplify right side
    3,066,629.63x = 22,673,993,429,207.85
  5. Step 5: Solve for x
    x = 22,673,993,429,207.85/3,066,629.63
  6. Step 6: Final answer
    x = 7,393,782.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.