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Finding the Third Proportional to 3,644,271 and 5,180,820.75

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Solution

The third proportional to 3,644,271 and 5,180,820.75 is: 7,365,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,271 : 5,180,820.75 = 5,180,820.75 : x
  2. Step 2: Convert to fraction form
    3,644,271/5,180,820.75 = 5,180,820.75/x
  3. Step 3: Cross multiply
    3,644,271x = 5,180,820.75 × 5,180,820.75
  4. Step 4: Simplify right side
    3,644,271x = 26,840,903,643,630.56
  5. Step 5: Solve for x
    x = 26,840,903,643,630.56/3,644,271
  6. Step 6: Final answer
    x = 7,365,232.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.