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Finding the Third Proportional to 9,468,714 and 13,848,696

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Solution

The third proportional to 9,468,714 and 13,848,696 is: 20,254,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468,714 : 13,848,696 = 13,848,696 : x
  2. Step 2: Convert to fraction form
    9,468,714/13,848,696 = 13,848,696/x
  3. Step 3: Cross multiply
    9,468,714x = 13,848,696 × 13,848,696
  4. Step 4: Simplify right side
    9,468,714x = 191,786,380,900,416
  5. Step 5: Solve for x
    x = 191,786,380,900,416/9,468,714
  6. Step 6: Final answer
    x = 20,254,744.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.