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Finding the Third Proportional to 8,012,724 and 17,240,416

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Solution

The third proportional to 8,012,724 and 17,240,416 is: 37,094,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012,724 : 17,240,416 = 17,240,416 : x
  2. Step 2: Convert to fraction form
    8,012,724/17,240,416 = 17,240,416/x
  3. Step 3: Cross multiply
    8,012,724x = 17,240,416 × 17,240,416
  4. Step 4: Simplify right side
    8,012,724x = 297,231,943,853,056
  5. Step 5: Solve for x
    x = 297,231,943,853,056/8,012,724
  6. Step 6: Final answer
    x = 37,094,993.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.