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Finding the Third Proportional to 4,657,176 and 10,022,592

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Solution

The third proportional to 4,657,176 and 10,022,592 is: 21,569,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657,176 : 10,022,592 = 10,022,592 : x
  2. Step 2: Convert to fraction form
    4,657,176/10,022,592 = 10,022,592/x
  3. Step 3: Cross multiply
    4,657,176x = 10,022,592 × 10,022,592
  4. Step 4: Simplify right side
    4,657,176x = 100,452,350,398,464
  5. Step 5: Solve for x
    x = 100,452,350,398,464/4,657,176
  6. Step 6: Final answer
    x = 21,569,369.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.