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Finding the Third Proportional to 75,388,518 and 164,126,322

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Solution

The third proportional to 75,388,518 and 164,126,322 is: 357,315,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,388,518 : 164,126,322 = 164,126,322 : x
  2. Step 2: Convert to fraction form
    75,388,518/164,126,322 = 164,126,322/x
  3. Step 3: Cross multiply
    75,388,518x = 164,126,322 × 164,126,322
  4. Step 4: Simplify right side
    75,388,518x = 26,937,449,573,247,684
  5. Step 5: Solve for x
    x = 26,937,449,573,247,684/75,388,518
  6. Step 6: Final answer
    x = 357,315,016.77

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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.