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Finding the Third Proportional to 7,504,720 and 17,698,215

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Solution

The third proportional to 7,504,720 and 17,698,215 is: 41,737,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504,720 : 17,698,215 = 17,698,215 : x
  2. Step 2: Convert to fraction form
    7,504,720/17,698,215 = 17,698,215/x
  3. Step 3: Cross multiply
    7,504,720x = 17,698,215 × 17,698,215
  4. Step 4: Simplify right side
    7,504,720x = 313,226,814,186,225
  5. Step 5: Solve for x
    x = 313,226,814,186,225/7,504,720
  6. Step 6: Final answer
    x = 41,737,308.55

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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.