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Finding the Third Proportional to 9,229,117.22 and 20,118,896.44

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Solution

The third proportional to 9,229,117.22 and 20,118,896.44 is: 43,857,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229,117.22 : 20,118,896.44 = 20,118,896.44 : x
  2. Step 2: Convert to fraction form
    9,229,117.22/20,118,896.44 = 20,118,896.44/x
  3. Step 3: Cross multiply
    9,229,117.22x = 20,118,896.44 × 20,118,896.44
  4. Step 4: Simplify right side
    9,229,117.22x = 404,769,993,862,850.19
  5. Step 5: Solve for x
    x = 404,769,993,862,850.19/9,229,117.22
  6. Step 6: Final answer
    x = 43,857,931.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.