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Finding the Third Proportional to 11,854,733 and 17,875,520

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Solution

The third proportional to 11,854,733 and 17,875,520 is: 26,954,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854,733 : 17,875,520 = 17,875,520 : x
  2. Step 2: Convert to fraction form
    11,854,733/17,875,520 = 17,875,520/x
  3. Step 3: Cross multiply
    11,854,733x = 17,875,520 × 17,875,520
  4. Step 4: Simplify right side
    11,854,733x = 319,534,215,270,400
  5. Step 5: Solve for x
    x = 319,534,215,270,400/11,854,733
  6. Step 6: Final answer
    x = 26,954,146.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.