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Finding the Third Proportional to 7,876,584 and 11,801,736

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Solution

The third proportional to 7,876,584 and 11,801,736 is: 17,682,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876,584 : 11,801,736 = 11,801,736 : x
  2. Step 2: Convert to fraction form
    7,876,584/11,801,736 = 11,801,736/x
  3. Step 3: Cross multiply
    7,876,584x = 11,801,736 × 11,801,736
  4. Step 4: Simplify right side
    7,876,584x = 139,280,972,613,696
  5. Step 5: Solve for x
    x = 139,280,972,613,696/7,876,584
  6. Step 6: Final answer
    x = 17,682,915.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.