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Finding the Third Proportional to 7,828,409 and 11,024,184

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Solution

The third proportional to 7,828,409 and 11,024,184 is: 15,524,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828,409 : 11,024,184 = 11,024,184 : x
  2. Step 2: Convert to fraction form
    7,828,409/11,024,184 = 11,024,184/x
  3. Step 3: Cross multiply
    7,828,409x = 11,024,184 × 11,024,184
  4. Step 4: Simplify right side
    7,828,409x = 121,532,632,865,856
  5. Step 5: Solve for x
    x = 121,532,632,865,856/7,828,409
  6. Step 6: Final answer
    x = 15,524,563.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.