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Finding the Third Proportional to 75,246,581 and 165,290,469

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Solution

The third proportional to 75,246,581 and 165,290,469 is: 363,085,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246,581 : 165,290,469 = 165,290,469 : x
  2. Step 2: Convert to fraction form
    75,246,581/165,290,469 = 165,290,469/x
  3. Step 3: Cross multiply
    75,246,581x = 165,290,469 × 165,290,469
  4. Step 4: Simplify right side
    75,246,581x = 27,320,939,142,239,960
  5. Step 5: Solve for x
    x = 27,320,939,142,239,960/75,246,581
  6. Step 6: Final answer
    x = 363,085,455.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.