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Finding the Third Proportional to 5,380,287 and 11,610,516

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Solution

The third proportional to 5,380,287 and 11,610,516 is: 25,055,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380,287 : 11,610,516 = 11,610,516 : x
  2. Step 2: Convert to fraction form
    5,380,287/11,610,516 = 11,610,516/x
  3. Step 3: Cross multiply
    5,380,287x = 11,610,516 × 11,610,516
  4. Step 4: Simplify right side
    5,380,287x = 134,804,081,786,256
  5. Step 5: Solve for x
    x = 134,804,081,786,256/5,380,287
  6. Step 6: Final answer
    x = 25,055,184.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.