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Finding the Third Proportional to 4,997,767,872,016 and 10,136,061,595,882

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Solution

The third proportional to 4,997,767,872,016 and 10,136,061,595,882 is: 20,557,126,162,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997,767,872,016 : 10,136,061,595,882 = 10,136,061,595,882 : x
  2. Step 2: Convert to fraction form
    4,997,767,872,016/10,136,061,595,882 = 10,136,061,595,882/x
  3. Step 3: Cross multiply
    4,997,767,872,016x = 10,136,061,595,882 × 10,136,061,595,882
  4. Step 4: Simplify right side
    4,997,767,872,016x = 102,739,744,675,513,958,337,085,440
  5. Step 5: Solve for x
    x = 102,739,744,675,513,958,337,085,440/4,997,767,872,016
  6. Step 6: Final answer
    x = 20,557,126,162,418.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.