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Finding the Third Proportional to 35,285,841 and 76,436,037

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Solution

The third proportional to 35,285,841 and 76,436,037 is: 165,575,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285,841 : 76,436,037 = 76,436,037 : x
  2. Step 2: Convert to fraction form
    35,285,841/76,436,037 = 76,436,037/x
  3. Step 3: Cross multiply
    35,285,841x = 76,436,037 × 76,436,037
  4. Step 4: Simplify right side
    35,285,841x = 5,842,467,752,265,369
  5. Step 5: Solve for x
    x = 5,842,467,752,265,369/35,285,841
  6. Step 6: Final answer
    x = 165,575,414.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.