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Finding the Third Proportional to 7,723,968 and 16,970,496

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Solution

The third proportional to 7,723,968 and 16,970,496 is: 37,286,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723,968 : 16,970,496 = 16,970,496 : x
  2. Step 2: Convert to fraction form
    7,723,968/16,970,496 = 16,970,496/x
  3. Step 3: Cross multiply
    7,723,968x = 16,970,496 × 16,970,496
  4. Step 4: Simplify right side
    7,723,968x = 287,997,734,486,016
  5. Step 5: Solve for x
    x = 287,997,734,486,016/7,723,968
  6. Step 6: Final answer
    x = 37,286,241.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.