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Finding the Third Proportional to 13,631,699 and 29,178,670

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Solution

The third proportional to 13,631,699 and 29,178,670 is: 62,456,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,631,699 : 29,178,670 = 29,178,670 : x
  2. Step 2: Convert to fraction form
    13,631,699/29,178,670 = 29,178,670/x
  3. Step 3: Cross multiply
    13,631,699x = 29,178,670 × 29,178,670
  4. Step 4: Simplify right side
    13,631,699x = 851,394,782,968,900
  5. Step 5: Solve for x
    x = 851,394,782,968,900/13,631,699
  6. Step 6: Final answer
    x = 62,456,982.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.