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Finding the Third Proportional to 5,412,580.97 and 11,777,994.47

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Solution

The third proportional to 5,412,580.97 and 11,777,994.47 is: 25,629,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412,580.97 : 11,777,994.47 = 11,777,994.47 : x
  2. Step 2: Convert to fraction form
    5,412,580.97/11,777,994.47 = 11,777,994.47/x
  3. Step 3: Cross multiply
    5,412,580.97x = 11,777,994.47 × 11,777,994.47
  4. Step 4: Simplify right side
    5,412,580.97x = 138,721,153,705,905.59
  5. Step 5: Solve for x
    x = 138,721,153,705,905.59/5,412,580.97
  6. Step 6: Final answer
    x = 25,629,390.95

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