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Finding the Third Proportional to 9,166,223.25 and 19,908,863.44

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Solution

The third proportional to 9,166,223.25 and 19,908,863.44 is: 43,241,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166,223.25 : 19,908,863.44 = 19,908,863.44 : x
  2. Step 2: Convert to fraction form
    9,166,223.25/19,908,863.44 = 19,908,863.44/x
  3. Step 3: Cross multiply
    9,166,223.25x = 19,908,863.44 × 19,908,863.44
  4. Step 4: Simplify right side
    9,166,223.25x = 396,362,843,373,024.31
  5. Step 5: Solve for x
    x = 396,362,843,373,024.31/9,166,223.25
  6. Step 6: Final answer
    x = 43,241,674.63

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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.