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Finding the Third Proportional to 7,093,593.75 and 14,753,328.44

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Solution

The third proportional to 7,093,593.75 and 14,753,328.44 is: 30,684,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093,593.75 : 14,753,328.44 = 14,753,328.44 : x
  2. Step 2: Convert to fraction form
    7,093,593.75/14,753,328.44 = 14,753,328.44/x
  3. Step 3: Cross multiply
    7,093,593.75x = 14,753,328.44 × 14,753,328.44
  4. Step 4: Simplify right side
    7,093,593.75x = 217,660,699,984,746.19
  5. Step 5: Solve for x
    x = 217,660,699,984,746.19/7,093,593.75
  6. Step 6: Final answer
    x = 30,684,122.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.