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Finding the Third Proportional to 16,206,034 and 35,102,563

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Solution

The third proportional to 16,206,034 and 35,102,563 is: 76,032,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206,034 : 35,102,563 = 35,102,563 : x
  2. Step 2: Convert to fraction form
    16,206,034/35,102,563 = 35,102,563/x
  3. Step 3: Cross multiply
    16,206,034x = 35,102,563 × 35,102,563
  4. Step 4: Simplify right side
    16,206,034x = 1,232,189,929,168,969
  5. Step 5: Solve for x
    x = 1,232,189,929,168,969/16,206,034
  6. Step 6: Final answer
    x = 76,032,786.87

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