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Finding the Third Proportional to 4,269,042.56 and 6,557,771.81

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Solution

The third proportional to 4,269,042.56 and 6,557,771.81 is: 10,073,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269,042.56 : 6,557,771.81 = 6,557,771.81 : x
  2. Step 2: Convert to fraction form
    4,269,042.56/6,557,771.81 = 6,557,771.81/x
  3. Step 3: Cross multiply
    4,269,042.56x = 6,557,771.81 × 6,557,771.81
  4. Step 4: Simplify right side
    4,269,042.56x = 43,004,371,144,819.53
  5. Step 5: Solve for x
    x = 43,004,371,144,819.53/4,269,042.56
  6. Step 6: Final answer
    x = 10,073,540.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.