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Finding the Third Proportional to 35,715,612 and 77,519,832

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Solution

The third proportional to 35,715,612 and 77,519,832 is: 168,254,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715,612 : 77,519,832 = 77,519,832 : x
  2. Step 2: Convert to fraction form
    35,715,612/77,519,832 = 77,519,832/x
  3. Step 3: Cross multiply
    35,715,612x = 77,519,832 × 77,519,832
  4. Step 4: Simplify right side
    35,715,612x = 6,009,324,353,308,224
  5. Step 5: Solve for x
    x = 6,009,324,353,308,224/35,715,612
  6. Step 6: Final answer
    x = 168,254,833.58

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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.