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Finding the Third Proportional to 39,446,826,417 and 84,478,982,561

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Solution

The third proportional to 39,446,826,417 and 84,478,982,561 is: 180,919,458,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,446,826,417 : 84,478,982,561 = 84,478,982,561 : x
  2. Step 2: Convert to fraction form
    39,446,826,417/84,478,982,561 = 84,478,982,561/x
  3. Step 3: Cross multiply
    39,446,826,417x = 84,478,982,561 × 84,478,982,561
  4. Step 4: Simplify right side
    39,446,826,417x = 7,136,698,494,541,741,686,784
  5. Step 5: Solve for x
    x = 7,136,698,494,541,741,686,784/39,446,826,417
  6. Step 6: Final answer
    x = 180,919,458,997.75

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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.