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Finding the Third Proportional to 5,394,818 and 11,557,206

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Solution

The third proportional to 5,394,818 and 11,557,206 is: 24,758,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,818 : 11,557,206 = 11,557,206 : x
  2. Step 2: Convert to fraction form
    5,394,818/11,557,206 = 11,557,206/x
  3. Step 3: Cross multiply
    5,394,818x = 11,557,206 × 11,557,206
  4. Step 4: Simplify right side
    5,394,818x = 133,569,010,526,436
  5. Step 5: Solve for x
    x = 133,569,010,526,436/5,394,818
  6. Step 6: Final answer
    x = 24,758,761.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.