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Finding the Third Proportional to 13,027,764 and 17,368,380

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Solution

The third proportional to 13,027,764 and 17,368,380 is: 23,155,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027,764 : 17,368,380 = 17,368,380 : x
  2. Step 2: Convert to fraction form
    13,027,764/17,368,380 = 17,368,380/x
  3. Step 3: Cross multiply
    13,027,764x = 17,368,380 × 17,368,380
  4. Step 4: Simplify right side
    13,027,764x = 301,660,623,824,400
  5. Step 5: Solve for x
    x = 301,660,623,824,400/13,027,764
  6. Step 6: Final answer
    x = 23,155,210.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.