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Finding the Third Proportional to 5,349,976 and 11,572,568

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Solution

The third proportional to 5,349,976 and 11,572,568 is: 25,032,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349,976 : 11,572,568 = 11,572,568 : x
  2. Step 2: Convert to fraction form
    5,349,976/11,572,568 = 11,572,568/x
  3. Step 3: Cross multiply
    5,349,976x = 11,572,568 × 11,572,568
  4. Step 4: Simplify right side
    5,349,976x = 133,924,330,114,624
  5. Step 5: Solve for x
    x = 133,924,330,114,624/5,349,976
  6. Step 6: Final answer
    x = 25,032,697.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.