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Finding the Third Proportional to 5,740,896 and 11,744,232

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Solution

The third proportional to 5,740,896 and 11,744,232 is: 24,025,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,896 : 11,744,232 = 11,744,232 : x
  2. Step 2: Convert to fraction form
    5,740,896/11,744,232 = 11,744,232/x
  3. Step 3: Cross multiply
    5,740,896x = 11,744,232 × 11,744,232
  4. Step 4: Simplify right side
    5,740,896x = 137,926,985,269,824
  5. Step 5: Solve for x
    x = 137,926,985,269,824/5,740,896
  6. Step 6: Final answer
    x = 24,025,341.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.