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Finding the Third Proportional to 4,091,233 and 8,613,791

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Solution

The third proportional to 4,091,233 and 8,613,791 is: 18,135,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091,233 : 8,613,791 = 8,613,791 : x
  2. Step 2: Convert to fraction form
    4,091,233/8,613,791 = 8,613,791/x
  3. Step 3: Cross multiply
    4,091,233x = 8,613,791 × 8,613,791
  4. Step 4: Simplify right side
    4,091,233x = 74,197,395,391,681
  5. Step 5: Solve for x
    x = 74,197,395,391,681/4,091,233
  6. Step 6: Final answer
    x = 18,135,705.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.