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Finding the Third Proportional to 75,359,252 and 162,265,668

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Solution

The third proportional to 75,359,252 and 162,265,668 is: 349,395,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,359,252 : 162,265,668 = 162,265,668 : x
  2. Step 2: Convert to fraction form
    75,359,252/162,265,668 = 162,265,668/x
  3. Step 3: Cross multiply
    75,359,252x = 162,265,668 × 162,265,668
  4. Step 4: Simplify right side
    75,359,252x = 26,330,147,011,486,224
  5. Step 5: Solve for x
    x = 26,330,147,011,486,224/75,359,252
  6. Step 6: Final answer
    x = 349,395,015.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.