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Finding the Third Proportional to 7,504,709 and 17,698,188

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Solution

The third proportional to 7,504,709 and 17,698,188 is: 41,737,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504,709 : 17,698,188 = 17,698,188 : x
  2. Step 2: Convert to fraction form
    7,504,709/17,698,188 = 17,698,188/x
  3. Step 3: Cross multiply
    7,504,709x = 17,698,188 × 17,698,188
  4. Step 4: Simplify right side
    7,504,709x = 313,225,858,483,344
  5. Step 5: Solve for x
    x = 313,225,858,483,344/7,504,709
  6. Step 6: Final answer
    x = 41,737,242.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.