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Finding the Third Proportional to 5,109,057 and 8,514,733.50

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Solution

The third proportional to 5,109,057 and 8,514,733.50 is: 14,190,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109,057 : 8,514,733.50 = 8,514,733.50 : x
  2. Step 2: Convert to fraction form
    5,109,057/8,514,733.50 = 8,514,733.50/x
  3. Step 3: Cross multiply
    5,109,057x = 8,514,733.50 × 8,514,733.50
  4. Step 4: Simplify right side
    5,109,057x = 72,500,686,576,022.25
  5. Step 5: Solve for x
    x = 72,500,686,576,022.25/5,109,057
  6. Step 6: Final answer
    x = 14,190,620.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.