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Finding the Third Proportional to 35,382,028.50 and 75,682,464.75

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Solution

The third proportional to 35,382,028.50 and 75,682,464.75 is: 161,885,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382,028.50 : 75,682,464.75 = 75,682,464.75 : x
  2. Step 2: Convert to fraction form
    35,382,028.50/75,682,464.75 = 75,682,464.75/x
  3. Step 3: Cross multiply
    35,382,028.50x = 75,682,464.75 × 75,682,464.75
  4. Step 4: Simplify right side
    35,382,028.50x = 5,727,835,470,634,993
  5. Step 5: Solve for x
    x = 5,727,835,470,634,993/35,382,028.50
  6. Step 6: Final answer
    x = 161,885,446.18

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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.