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Finding the Third Proportional to 7,865,566 and 16,824,144

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Solution

The third proportional to 7,865,566 and 16,824,144 is: 35,986,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865,566 : 16,824,144 = 16,824,144 : x
  2. Step 2: Convert to fraction form
    7,865,566/16,824,144 = 16,824,144/x
  3. Step 3: Cross multiply
    7,865,566x = 16,824,144 × 16,824,144
  4. Step 4: Simplify right side
    7,865,566x = 283,051,821,332,736
  5. Step 5: Solve for x
    x = 283,051,821,332,736/7,865,566
  6. Step 6: Final answer
    x = 35,986,198.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.