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Finding the Third Proportional to 3,954,266.81 and 6,329,400.56

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Solution

The third proportional to 3,954,266.81 and 6,329,400.56 is: 10,131,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954,266.81 : 6,329,400.56 = 6,329,400.56 : x
  2. Step 2: Convert to fraction form
    3,954,266.81/6,329,400.56 = 6,329,400.56/x
  3. Step 3: Cross multiply
    3,954,266.81x = 6,329,400.56 × 6,329,400.56
  4. Step 4: Simplify right side
    3,954,266.81x = 40,061,311,480,575.31
  5. Step 5: Solve for x
    x = 40,061,311,480,575.31/3,954,266.81
  6. Step 6: Final answer
    x = 10,131,160.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.