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Finding the Third Proportional to 7,504,721 and 17,698,217

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Solution

The third proportional to 7,504,721 and 17,698,217 is: 41,737,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504,721 : 17,698,217 = 17,698,217 : x
  2. Step 2: Convert to fraction form
    7,504,721/17,698,217 = 17,698,217/x
  3. Step 3: Cross multiply
    7,504,721x = 17,698,217 × 17,698,217
  4. Step 4: Simplify right side
    7,504,721x = 313,226,884,979,089
  5. Step 5: Solve for x
    x = 313,226,884,979,089/7,504,721
  6. Step 6: Final answer
    x = 41,737,312.42

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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.