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Finding the Third Proportional to 13,701,082 and 29,843,174

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Solution

The third proportional to 13,701,082 and 29,843,174 is: 65,003,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701,082 : 29,843,174 = 29,843,174 : x
  2. Step 2: Convert to fraction form
    13,701,082/29,843,174 = 29,843,174/x
  3. Step 3: Cross multiply
    13,701,082x = 29,843,174 × 29,843,174
  4. Step 4: Simplify right side
    13,701,082x = 890,615,034,394,276
  5. Step 5: Solve for x
    x = 890,615,034,394,276/13,701,082
  6. Step 6: Final answer
    x = 65,003,262.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.