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Finding the Third Proportional to 3,022,484.25 and 6,386,118.75

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Solution

The third proportional to 3,022,484.25 and 6,386,118.75 is: 13,493,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022,484.25 : 6,386,118.75 = 6,386,118.75 : x
  2. Step 2: Convert to fraction form
    3,022,484.25/6,386,118.75 = 6,386,118.75/x
  3. Step 3: Cross multiply
    3,022,484.25x = 6,386,118.75 × 6,386,118.75
  4. Step 4: Simplify right side
    3,022,484.25x = 40,782,512,689,101.56
  5. Step 5: Solve for x
    x = 40,782,512,689,101.56/3,022,484.25
  6. Step 6: Final answer
    x = 13,493,043.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.