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Finding the Third Proportional to 5,244,327 and 11,411,568

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Solution

The third proportional to 5,244,327 and 11,411,568 is: 24,831,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244,327 : 11,411,568 = 11,411,568 : x
  2. Step 2: Convert to fraction form
    5,244,327/11,411,568 = 11,411,568/x
  3. Step 3: Cross multiply
    5,244,327x = 11,411,568 × 11,411,568
  4. Step 4: Simplify right side
    5,244,327x = 130,223,884,218,624
  5. Step 5: Solve for x
    x = 130,223,884,218,624/5,244,327
  6. Step 6: Final answer
    x = 24,831,381.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.