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Finding the Third Proportional to 39,446,826,444 and 84,478,982,616

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Solution

The third proportional to 39,446,826,444 and 84,478,982,616 is: 180,919,459,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,446,826,444 : 84,478,982,616 = 84,478,982,616 : x
  2. Step 2: Convert to fraction form
    39,446,826,444/84,478,982,616 = 84,478,982,616/x
  3. Step 3: Cross multiply
    39,446,826,444x = 84,478,982,616 × 84,478,982,616
  4. Step 4: Simplify right side
    39,446,826,444x = 7,136,698,503,834,429,816,832
  5. Step 5: Solve for x
    x = 7,136,698,503,834,429,816,832/39,446,826,444
  6. Step 6: Final answer
    x = 180,919,459,109.49

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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.