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Finding the Third Proportional to 43,613,079.75 and 68,425,448.63

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Solution

The third proportional to 43,613,079.75 and 68,425,448.63 is: 107,354,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,613,079.75 : 68,425,448.63 = 68,425,448.63 : x
  2. Step 2: Convert to fraction form
    43,613,079.75/68,425,448.63 = 68,425,448.63/x
  3. Step 3: Cross multiply
    43,613,079.75x = 68,425,448.63 × 68,425,448.63
  4. Step 4: Simplify right side
    43,613,079.75x = 4,682,042,019,532,514
  5. Step 5: Solve for x
    x = 4,682,042,019,532,514/43,613,079.75
  6. Step 6: Final answer
    x = 107,354,079.24

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Why These Related Problems?

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