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Finding the Third Proportional to 13,027,770 and 17,368,382

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Solution

The third proportional to 13,027,770 and 17,368,382 is: 23,155,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027,770 : 17,368,382 = 17,368,382 : x
  2. Step 2: Convert to fraction form
    13,027,770/17,368,382 = 17,368,382/x
  3. Step 3: Cross multiply
    13,027,770x = 17,368,382 × 17,368,382
  4. Step 4: Simplify right side
    13,027,770x = 301,660,693,297,924
  5. Step 5: Solve for x
    x = 301,660,693,297,924/13,027,770
  6. Step 6: Final answer
    x = 23,155,205.63

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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.