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Finding the Third Proportional to 324,788,544 and 766,442,808

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Solution

The third proportional to 324,788,544 and 766,442,808 is: 1,808,667,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,788,544 : 766,442,808 = 766,442,808 : x
  2. Step 2: Convert to fraction form
    324,788,544/766,442,808 = 766,442,808/x
  3. Step 3: Cross multiply
    324,788,544x = 766,442,808 × 766,442,808
  4. Step 4: Simplify right side
    324,788,544x = 587,434,577,934,924,800
  5. Step 5: Solve for x
    x = 587,434,577,934,924,800/324,788,544
  6. Step 6: Final answer
    x = 1,808,667,789.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.