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Finding the Third Proportional to 35,715,608 and 77,519,806

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Solution

The third proportional to 35,715,608 and 77,519,806 is: 168,254,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715,608 : 77,519,806 = 77,519,806 : x
  2. Step 2: Convert to fraction form
    35,715,608/77,519,806 = 77,519,806/x
  3. Step 3: Cross multiply
    35,715,608x = 77,519,806 × 77,519,806
  4. Step 4: Simplify right side
    35,715,608x = 6,009,320,322,277,636
  5. Step 5: Solve for x
    x = 6,009,320,322,277,636/35,715,608
  6. Step 6: Final answer
    x = 168,254,739.56

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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.