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Finding the Third Proportional to 7,294,176 and 15,824,736

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Solution

The third proportional to 7,294,176 and 15,824,736 is: 34,331,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,176 : 15,824,736 = 15,824,736 : x
  2. Step 2: Convert to fraction form
    7,294,176/15,824,736 = 15,824,736/x
  3. Step 3: Cross multiply
    7,294,176x = 15,824,736 × 15,824,736
  4. Step 4: Simplify right side
    7,294,176x = 250,422,269,469,696
  5. Step 5: Solve for x
    x = 250,422,269,469,696/7,294,176
  6. Step 6: Final answer
    x = 34,331,810.68

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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.