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Finding the Third Proportional to 3,276,514.13 and 5,128,633.13

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Solution

The third proportional to 3,276,514.13 and 5,128,633.13 is: 8,027,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276,514.13 : 5,128,633.13 = 5,128,633.13 : x
  2. Step 2: Convert to fraction form
    3,276,514.13/5,128,633.13 = 5,128,633.13/x
  3. Step 3: Cross multiply
    3,276,514.13x = 5,128,633.13 × 5,128,633.13
  4. Step 4: Simplify right side
    3,276,514.13x = 26,302,877,730,847.27
  5. Step 5: Solve for x
    x = 26,302,877,730,847.27/3,276,514.13
  6. Step 6: Final answer
    x = 8,027,701.61

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.