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Finding the Third Proportional to 7,949,180 and 17,242,636

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Solution

The third proportional to 7,949,180 and 17,242,636 is: 37,401,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949,180 : 17,242,636 = 17,242,636 : x
  2. Step 2: Convert to fraction form
    7,949,180/17,242,636 = 17,242,636/x
  3. Step 3: Cross multiply
    7,949,180x = 17,242,636 × 17,242,636
  4. Step 4: Simplify right side
    7,949,180x = 297,308,496,228,496
  5. Step 5: Solve for x
    x = 297,308,496,228,496/7,949,180
  6. Step 6: Final answer
    x = 37,401,152.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.