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Finding the Third Proportional to 4,182,844 and 9,133,244

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Solution

The third proportional to 4,182,844 and 9,133,244 is: 19,942,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182,844 : 9,133,244 = 9,133,244 : x
  2. Step 2: Convert to fraction form
    4,182,844/9,133,244 = 9,133,244/x
  3. Step 3: Cross multiply
    4,182,844x = 9,133,244 × 9,133,244
  4. Step 4: Simplify right side
    4,182,844x = 83,416,145,963,536
  5. Step 5: Solve for x
    x = 83,416,145,963,536/4,182,844
  6. Step 6: Final answer
    x = 19,942,447.28

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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.