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Finding the Third Proportional to 5,880,786.05 and 12,738,776.66

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Solution

The third proportional to 5,880,786.05 and 12,738,776.66 is: 27,594,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880,786.05 : 12,738,776.66 = 12,738,776.66 : x
  2. Step 2: Convert to fraction form
    5,880,786.05/12,738,776.66 = 12,738,776.66/x
  3. Step 3: Cross multiply
    5,880,786.05x = 12,738,776.66 × 12,738,776.66
  4. Step 4: Simplify right side
    5,880,786.05x = 162,276,430,797,335.25
  5. Step 5: Solve for x
    x = 162,276,430,797,335.25/5,880,786.05
  6. Step 6: Final answer
    x = 27,594,343.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.