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Finding the Third Proportional to 5,672,412 and 12,142,170

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Solution

The third proportional to 5,672,412 and 12,142,170 is: 25,991,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672,412 : 12,142,170 = 12,142,170 : x
  2. Step 2: Convert to fraction form
    5,672,412/12,142,170 = 12,142,170/x
  3. Step 3: Cross multiply
    5,672,412x = 12,142,170 × 12,142,170
  4. Step 4: Simplify right side
    5,672,412x = 147,432,292,308,900
  5. Step 5: Solve for x
    x = 147,432,292,308,900/5,672,412
  6. Step 6: Final answer
    x = 25,991,111.42

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