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Finding the Third Proportional to 7,284,496.50 and 10,523,970

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Solution

The third proportional to 7,284,496.50 and 10,523,970 is: 15,204,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284,496.50 : 10,523,970 = 10,523,970 : x
  2. Step 2: Convert to fraction form
    7,284,496.50/10,523,970 = 10,523,970/x
  3. Step 3: Cross multiply
    7,284,496.50x = 10,523,970 × 10,523,970
  4. Step 4: Simplify right side
    7,284,496.50x = 110,753,944,560,900
  5. Step 5: Solve for x
    x = 110,753,944,560,900/7,284,496.50
  6. Step 6: Final answer
    x = 15,204,063.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.