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Finding the Third Proportional to 7,828,440 and 11,024,224

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Solution

The third proportional to 7,828,440 and 11,024,224 is: 15,524,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828,440 : 11,024,224 = 11,024,224 : x
  2. Step 2: Convert to fraction form
    7,828,440/11,024,224 = 11,024,224/x
  3. Step 3: Cross multiply
    7,828,440x = 11,024,224 × 11,024,224
  4. Step 4: Simplify right side
    7,828,440x = 121,533,514,802,176
  5. Step 5: Solve for x
    x = 121,533,514,802,176/7,828,440
  6. Step 6: Final answer
    x = 15,524,614.71

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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.