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Finding the Third Proportional to 4,665,343.50 and 7,302,753

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Solution

The third proportional to 4,665,343.50 and 7,302,753 is: 11,431,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,343.50 : 7,302,753 = 7,302,753 : x
  2. Step 2: Convert to fraction form
    4,665,343.50/7,302,753 = 7,302,753/x
  3. Step 3: Cross multiply
    4,665,343.50x = 7,302,753 × 7,302,753
  4. Step 4: Simplify right side
    4,665,343.50x = 53,330,201,379,009
  5. Step 5: Solve for x
    x = 53,330,201,379,009/4,665,343.50
  6. Step 6: Final answer
    x = 11,431,141.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.