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Finding the Third Proportional to 51,428,740 and 107,117,864

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Solution

The third proportional to 51,428,740 and 107,117,864 is: 223,109,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428,740 : 107,117,864 = 107,117,864 : x
  2. Step 2: Convert to fraction form
    51,428,740/107,117,864 = 107,117,864/x
  3. Step 3: Cross multiply
    51,428,740x = 107,117,864 × 107,117,864
  4. Step 4: Simplify right side
    51,428,740x = 11,474,236,787,922,496
  5. Step 5: Solve for x
    x = 11,474,236,787,922,496/51,428,740
  6. Step 6: Final answer
    x = 223,109,428.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.