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Finding the Third Proportional to 14,120,169 and 21,818,859

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Solution

The third proportional to 14,120,169 and 21,818,859 is: 33,715,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120,169 : 21,818,859 = 21,818,859 : x
  2. Step 2: Convert to fraction form
    14,120,169/21,818,859 = 21,818,859/x
  3. Step 3: Cross multiply
    14,120,169x = 21,818,859 × 21,818,859
  4. Step 4: Simplify right side
    14,120,169x = 476,062,608,061,881
  5. Step 5: Solve for x
    x = 476,062,608,061,881/14,120,169
  6. Step 6: Final answer
    x = 33,715,078.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.