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Finding the Third Proportional to 35,715,544 and 77,519,694

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Solution

The third proportional to 35,715,544 and 77,519,694 is: 168,254,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715,544 : 77,519,694 = 77,519,694 : x
  2. Step 2: Convert to fraction form
    35,715,544/77,519,694 = 77,519,694/x
  3. Step 3: Cross multiply
    35,715,544x = 77,519,694 × 77,519,694
  4. Step 4: Simplify right side
    35,715,544x = 6,009,302,957,853,636
  5. Step 5: Solve for x
    x = 6,009,302,957,853,636/35,715,544
  6. Step 6: Final answer
    x = 168,254,554.88

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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.