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Finding the Third Proportional to 3,745,176 and 5,657,122.75

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Solution

The third proportional to 3,745,176 and 5,657,122.75 is: 8,545,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745,176 : 5,657,122.75 = 5,657,122.75 : x
  2. Step 2: Convert to fraction form
    3,745,176/5,657,122.75 = 5,657,122.75/x
  3. Step 3: Cross multiply
    3,745,176x = 5,657,122.75 × 5,657,122.75
  4. Step 4: Simplify right side
    3,745,176x = 32,003,037,808,567.56
  5. Step 5: Solve for x
    x = 32,003,037,808,567.56/3,745,176
  6. Step 6: Final answer
    x = 8,545,135.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.