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Finding the Third Proportional to 3,660,972.75 and 7,624,958.63

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Solution

The third proportional to 3,660,972.75 and 7,624,958.63 is: 15,881,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660,972.75 : 7,624,958.63 = 7,624,958.63 : x
  2. Step 2: Convert to fraction form
    3,660,972.75/7,624,958.63 = 7,624,958.63/x
  3. Step 3: Cross multiply
    3,660,972.75x = 7,624,958.63 × 7,624,958.63
  4. Step 4: Simplify right side
    3,660,972.75x = 58,139,994,032,961.89
  5. Step 5: Solve for x
    x = 58,139,994,032,961.89/3,660,972.75
  6. Step 6: Final answer
    x = 15,881,023.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.