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Finding the Third Proportional to 1,690,149,180 and 3,612,897,311

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Solution

The third proportional to 1,690,149,180 and 3,612,897,311 is: 7,723,002,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,149,180 : 3,612,897,311 = 3,612,897,311 : x
  2. Step 2: Convert to fraction form
    1,690,149,180/3,612,897,311 = 3,612,897,311/x
  3. Step 3: Cross multiply
    1,690,149,180x = 3,612,897,311 × 3,612,897,311
  4. Step 4: Simplify right side
    1,690,149,180x = 13,053,026,979,831,029,760
  5. Step 5: Solve for x
    x = 13,053,026,979,831,029,760/1,690,149,180
  6. Step 6: Final answer
    x = 7,723,002,877.08

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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.