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Finding the Third Proportional to 11,696,823 and 26,083,119

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Solution

The third proportional to 11,696,823 and 26,083,119 is: 58,163,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696,823 : 26,083,119 = 26,083,119 : x
  2. Step 2: Convert to fraction form
    11,696,823/26,083,119 = 26,083,119/x
  3. Step 3: Cross multiply
    11,696,823x = 26,083,119 × 26,083,119
  4. Step 4: Simplify right side
    11,696,823x = 680,329,096,768,161
  5. Step 5: Solve for x
    x = 680,329,096,768,161/11,696,823
  6. Step 6: Final answer
    x = 58,163,579.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.