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Finding the Third Proportional to 7,529,344 and 11,364,216

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Solution

The third proportional to 7,529,344 and 11,364,216 is: 17,152,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529,344 : 11,364,216 = 11,364,216 : x
  2. Step 2: Convert to fraction form
    7,529,344/11,364,216 = 11,364,216/x
  3. Step 3: Cross multiply
    7,529,344x = 11,364,216 × 11,364,216
  4. Step 4: Simplify right side
    7,529,344x = 129,145,405,294,656
  5. Step 5: Solve for x
    x = 129,145,405,294,656/7,529,344
  6. Step 6: Final answer
    x = 17,152,278.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.