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Finding the Third Proportional to 1,690,149,177 and 3,612,897,305

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Solution

The third proportional to 1,690,149,177 and 3,612,897,305 is: 7,723,002,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,149,177 : 3,612,897,305 = 3,612,897,305 : x
  2. Step 2: Convert to fraction form
    1,690,149,177/3,612,897,305 = 3,612,897,305/x
  3. Step 3: Cross multiply
    1,690,149,177x = 3,612,897,305 × 3,612,897,305
  4. Step 4: Simplify right side
    1,690,149,177x = 13,053,026,936,476,262,400
  5. Step 5: Solve for x
    x = 13,053,026,936,476,262,400/1,690,149,177
  6. Step 6: Final answer
    x = 7,723,002,865.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.