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Finding the Third Proportional to 4,227,448.50 and 9,423,072

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Solution

The third proportional to 4,227,448.50 and 9,423,072 is: 21,004,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227,448.50 : 9,423,072 = 9,423,072 : x
  2. Step 2: Convert to fraction form
    4,227,448.50/9,423,072 = 9,423,072/x
  3. Step 3: Cross multiply
    4,227,448.50x = 9,423,072 × 9,423,072
  4. Step 4: Simplify right side
    4,227,448.50x = 88,794,285,917,184
  5. Step 5: Solve for x
    x = 88,794,285,917,184/4,227,448.50
  6. Step 6: Final answer
    x = 21,004,226.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.