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Finding the Third Proportional to 10,455,897,687,698 and 22,380,600,476,866

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Solution

The third proportional to 10,455,897,687,698 and 22,380,600,476,866 is: 47,905,143,361,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455,897,687,698 : 22,380,600,476,866 = 22,380,600,476,866 : x
  2. Step 2: Convert to fraction form
    10,455,897,687,698/22,380,600,476,866 = 22,380,600,476,866/x
  3. Step 3: Cross multiply
    10,455,897,687,698x = 22,380,600,476,866 × 22,380,600,476,866
  4. Step 4: Simplify right side
    10,455,897,687,698x = 500,891,277,705,094,608,722,067,456
  5. Step 5: Solve for x
    x = 500,891,277,705,094,608,722,067,456/10,455,897,687,698
  6. Step 6: Final answer
    x = 47,905,143,361,762.59

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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.