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Finding the Third Proportional to 4,723,788 and 7,084,453.50

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Solution

The third proportional to 4,723,788 and 7,084,453.50 is: 10,624,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,788 : 7,084,453.50 = 7,084,453.50 : x
  2. Step 2: Convert to fraction form
    4,723,788/7,084,453.50 = 7,084,453.50/x
  3. Step 3: Cross multiply
    4,723,788x = 7,084,453.50 × 7,084,453.50
  4. Step 4: Simplify right side
    4,723,788x = 50,189,481,393,662.25
  5. Step 5: Solve for x
    x = 50,189,481,393,662.25/4,723,788
  6. Step 6: Final answer
    x = 10,624,837.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.