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Finding the Third Proportional to 16,034,576 and 35,008,296

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Solution

The third proportional to 16,034,576 and 35,008,296 is: 76,433,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034,576 : 35,008,296 = 35,008,296 : x
  2. Step 2: Convert to fraction form
    16,034,576/35,008,296 = 35,008,296/x
  3. Step 3: Cross multiply
    16,034,576x = 35,008,296 × 35,008,296
  4. Step 4: Simplify right side
    16,034,576x = 1,225,580,788,823,616
  5. Step 5: Solve for x
    x = 1,225,580,788,823,616/16,034,576
  6. Step 6: Final answer
    x = 76,433,626.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.