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Finding the Third Proportional to 77,434,394 and 168,524,404

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Solution

The third proportional to 77,434,394 and 168,524,404 is: 366,768,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434,394 : 168,524,404 = 168,524,404 : x
  2. Step 2: Convert to fraction form
    77,434,394/168,524,404 = 168,524,404/x
  3. Step 3: Cross multiply
    77,434,394x = 168,524,404 × 168,524,404
  4. Step 4: Simplify right side
    77,434,394x = 28,400,474,743,555,216
  5. Step 5: Solve for x
    x = 28,400,474,743,555,216/77,434,394
  6. Step 6: Final answer
    x = 366,768,218.57

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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.