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Finding the Third Proportional to 135,012,771 and 294,556,815

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Solution

The third proportional to 135,012,771 and 294,556,815 is: 642,633,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,012,771 : 294,556,815 = 294,556,815 : x
  2. Step 2: Convert to fraction form
    135,012,771/294,556,815 = 294,556,815/x
  3. Step 3: Cross multiply
    135,012,771x = 294,556,815 × 294,556,815
  4. Step 4: Simplify right side
    135,012,771x = 86,763,717,262,944,224
  5. Step 5: Solve for x
    x = 86,763,717,262,944,224/135,012,771
  6. Step 6: Final answer
    x = 642,633,408.83

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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.