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Finding the Third Proportional to 7,294,224 and 16,884,822

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Solution

The third proportional to 7,294,224 and 16,884,822 is: 39,085,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,224 : 16,884,822 = 16,884,822 : x
  2. Step 2: Convert to fraction form
    7,294,224/16,884,822 = 16,884,822/x
  3. Step 3: Cross multiply
    7,294,224x = 16,884,822 × 16,884,822
  4. Step 4: Simplify right side
    7,294,224x = 285,097,213,971,684
  5. Step 5: Solve for x
    x = 285,097,213,971,684/7,294,224
  6. Step 6: Final answer
    x = 39,085,338.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.