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Finding the Third Proportional to 77,906,832 and 121,576,584

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Solution

The third proportional to 77,906,832 and 121,576,584 is: 189,724,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906,832 : 121,576,584 = 121,576,584 : x
  2. Step 2: Convert to fraction form
    77,906,832/121,576,584 = 121,576,584/x
  3. Step 3: Cross multiply
    77,906,832x = 121,576,584 × 121,576,584
  4. Step 4: Simplify right side
    77,906,832x = 14,780,865,777,109,056
  5. Step 5: Solve for x
    x = 14,780,865,777,109,056/77,906,832
  6. Step 6: Final answer
    x = 189,724,898.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.