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Finding the Third Proportional to 270,870,498 and 415,048,842

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Solution

The third proportional to 270,870,498 and 415,048,842 is: 635,970,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,870,498 : 415,048,842 = 415,048,842 : x
  2. Step 2: Convert to fraction form
    270,870,498/415,048,842 = 415,048,842/x
  3. Step 3: Cross multiply
    270,870,498x = 415,048,842 × 415,048,842
  4. Step 4: Simplify right side
    270,870,498x = 172,265,541,245,540,960
  5. Step 5: Solve for x
    x = 172,265,541,245,540,960/270,870,498
  6. Step 6: Final answer
    x = 635,970,113.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.