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Finding the Third Proportional to 7,389,849 and 17,266,021

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Solution

The third proportional to 7,389,849 and 17,266,021 is: 40,341,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389,849 : 17,266,021 = 17,266,021 : x
  2. Step 2: Convert to fraction form
    7,389,849/17,266,021 = 17,266,021/x
  3. Step 3: Cross multiply
    7,389,849x = 17,266,021 × 17,266,021
  4. Step 4: Simplify right side
    7,389,849x = 298,115,481,172,441
  5. Step 5: Solve for x
    x = 298,115,481,172,441/7,389,849
  6. Step 6: Final answer
    x = 40,341,214.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.