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Finding the Third Proportional to 3,031,591.50 and 6,483,249

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Solution

The third proportional to 3,031,591.50 and 6,483,249 is: 13,864,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,591.50 : 6,483,249 = 6,483,249 : x
  2. Step 2: Convert to fraction form
    3,031,591.50/6,483,249 = 6,483,249/x
  3. Step 3: Cross multiply
    3,031,591.50x = 6,483,249 × 6,483,249
  4. Step 4: Simplify right side
    3,031,591.50x = 42,032,517,596,001
  5. Step 5: Solve for x
    x = 42,032,517,596,001/3,031,591.50
  6. Step 6: Final answer
    x = 13,864,835.55

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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.