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Finding the Third Proportional to 3,321,536.63 and 5,423,729.63

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Solution

The third proportional to 3,321,536.63 and 5,423,729.63 is: 8,856,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321,536.63 : 5,423,729.63 = 5,423,729.63 : x
  2. Step 2: Convert to fraction form
    3,321,536.63/5,423,729.63 = 5,423,729.63/x
  3. Step 3: Cross multiply
    3,321,536.63x = 5,423,729.63 × 5,423,729.63
  4. Step 4: Simplify right side
    3,321,536.63x = 29,416,843,045,102.64
  5. Step 5: Solve for x
    x = 29,416,843,045,102.64/3,321,536.63
  6. Step 6: Final answer
    x = 8,856,395.81

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.