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Finding the Third Proportional to 84,593,129,664 and 127,979,458,551

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Solution

The third proportional to 84,593,129,664 and 127,979,458,551 is: 193,617,872,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,593,129,664 : 127,979,458,551 = 127,979,458,551 : x
  2. Step 2: Convert to fraction form
    84,593,129,664/127,979,458,551 = 127,979,458,551/x
  3. Step 3: Cross multiply
    84,593,129,664x = 127,979,458,551 × 127,979,458,551
  4. Step 4: Simplify right side
    84,593,129,664x = 16,378,741,811,007,125,979,136
  5. Step 5: Solve for x
    x = 16,378,741,811,007,125,979,136/84,593,129,664
  6. Step 6: Final answer
    x = 193,617,872,705.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.