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Finding the Third Proportional to 5,149,766 and 11,184,403

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Solution

The third proportional to 5,149,766 and 11,184,403 is: 24,290,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149,766 : 11,184,403 = 11,184,403 : x
  2. Step 2: Convert to fraction form
    5,149,766/11,184,403 = 11,184,403/x
  3. Step 3: Cross multiply
    5,149,766x = 11,184,403 × 11,184,403
  4. Step 4: Simplify right side
    5,149,766x = 125,090,870,466,409
  5. Step 5: Solve for x
    x = 125,090,870,466,409/5,149,766
  6. Step 6: Final answer
    x = 24,290,593.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.