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Finding the Third Proportional to 5,114,023 and 11,025,086

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Solution

The third proportional to 5,114,023 and 11,025,086 is: 23,768,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114,023 : 11,025,086 = 11,025,086 : x
  2. Step 2: Convert to fraction form
    5,114,023/11,025,086 = 11,025,086/x
  3. Step 3: Cross multiply
    5,114,023x = 11,025,086 × 11,025,086
  4. Step 4: Simplify right side
    5,114,023x = 121,552,521,307,396
  5. Step 5: Solve for x
    x = 121,552,521,307,396/5,114,023
  6. Step 6: Final answer
    x = 23,768,473.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.