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Finding the Third Proportional to 75,493,647 and 165,117,420

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Solution

The third proportional to 75,493,647 and 165,117,420 is: 361,139,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,493,647 : 165,117,420 = 165,117,420 : x
  2. Step 2: Convert to fraction form
    75,493,647/165,117,420 = 165,117,420/x
  3. Step 3: Cross multiply
    75,493,647x = 165,117,420 × 165,117,420
  4. Step 4: Simplify right side
    75,493,647x = 27,263,762,387,456,400
  5. Step 5: Solve for x
    x = 27,263,762,387,456,400/75,493,647
  6. Step 6: Final answer
    x = 361,139,823.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.