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Finding the Third Proportional to 35,394,493,850 and 75,837,560,924

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Solution

The third proportional to 35,394,493,850 and 75,837,560,924 is: 162,492,382,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,394,493,850 : 75,837,560,924 = 75,837,560,924 : x
  2. Step 2: Convert to fraction form
    35,394,493,850/75,837,560,924 = 75,837,560,924/x
  3. Step 3: Cross multiply
    35,394,493,850x = 75,837,560,924 × 75,837,560,924
  4. Step 4: Simplify right side
    35,394,493,850x = 5,751,335,646,901,411,250,176
  5. Step 5: Solve for x
    x = 5,751,335,646,901,411,250,176/35,394,493,850
  6. Step 6: Final answer
    x = 162,492,382,890.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.