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Finding the Third Proportional to 6,540,709.50 and 10,039,869

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Solution

The third proportional to 6,540,709.50 and 10,039,869 is: 15,411,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,709.50 : 10,039,869 = 10,039,869 : x
  2. Step 2: Convert to fraction form
    6,540,709.50/10,039,869 = 10,039,869/x
  3. Step 3: Cross multiply
    6,540,709.50x = 10,039,869 × 10,039,869
  4. Step 4: Simplify right side
    6,540,709.50x = 100,798,969,537,161
  5. Step 5: Solve for x
    x = 100,798,969,537,161/6,540,709.50
  6. Step 6: Final answer
    x = 15,411,014.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.