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Finding the Third Proportional to 7,459,150 and 11,518,233

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Solution

The third proportional to 7,459,150 and 11,518,233 is: 17,786,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459,150 : 11,518,233 = 11,518,233 : x
  2. Step 2: Convert to fraction form
    7,459,150/11,518,233 = 11,518,233/x
  3. Step 3: Cross multiply
    7,459,150x = 11,518,233 × 11,518,233
  4. Step 4: Simplify right side
    7,459,150x = 132,669,691,442,289
  5. Step 5: Solve for x
    x = 132,669,691,442,289/7,459,150
  6. Step 6: Final answer
    x = 17,786,167.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.