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Finding the Third Proportional to 6,110,684 and 13,396,516

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Solution

The third proportional to 6,110,684 and 13,396,516 is: 29,369,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110,684 : 13,396,516 = 13,396,516 : x
  2. Step 2: Convert to fraction form
    6,110,684/13,396,516 = 13,396,516/x
  3. Step 3: Cross multiply
    6,110,684x = 13,396,516 × 13,396,516
  4. Step 4: Simplify right side
    6,110,684x = 179,466,640,938,256
  5. Step 5: Solve for x
    x = 179,466,640,938,256/6,110,684
  6. Step 6: Final answer
    x = 29,369,321.17

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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.