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Finding the Third Proportional to 2,783,365.50 and 5,931,231

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Solution

The third proportional to 2,783,365.50 and 5,931,231 is: 12,639,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783,365.50 : 5,931,231 = 5,931,231 : x
  2. Step 2: Convert to fraction form
    2,783,365.50/5,931,231 = 5,931,231/x
  3. Step 3: Cross multiply
    2,783,365.50x = 5,931,231 × 5,931,231
  4. Step 4: Simplify right side
    2,783,365.50x = 35,179,501,175,361
  5. Step 5: Solve for x
    x = 35,179,501,175,361/2,783,365.50
  6. Step 6: Final answer
    x = 12,639,195.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.