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Finding the Third Proportional to 11,876,672 and 26,023,184

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Solution

The third proportional to 11,876,672 and 26,023,184 is: 57,019,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876,672 : 26,023,184 = 26,023,184 : x
  2. Step 2: Convert to fraction form
    11,876,672/26,023,184 = 26,023,184/x
  3. Step 3: Cross multiply
    11,876,672x = 26,023,184 × 26,023,184
  4. Step 4: Simplify right side
    11,876,672x = 677,206,105,497,856
  5. Step 5: Solve for x
    x = 677,206,105,497,856/11,876,672
  6. Step 6: Final answer
    x = 57,019,854.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.