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Finding the Third Proportional to 51,428,742 and 107,117,868

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Solution

The third proportional to 51,428,742 and 107,117,868 is: 223,109,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428,742 : 107,117,868 = 107,117,868 : x
  2. Step 2: Convert to fraction form
    51,428,742/107,117,868 = 107,117,868/x
  3. Step 3: Cross multiply
    51,428,742x = 107,117,868 × 107,117,868
  4. Step 4: Simplify right side
    51,428,742x = 11,474,237,644,865,424
  5. Step 5: Solve for x
    x = 11,474,237,644,865,424/51,428,742
  6. Step 6: Final answer
    x = 223,109,436.45

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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.