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Finding the Third Proportional to 72,175,584 and 168,415,512

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Solution

The third proportional to 72,175,584 and 168,415,512 is: 392,983,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,175,584 : 168,415,512 = 168,415,512 : x
  2. Step 2: Convert to fraction form
    72,175,584/168,415,512 = 168,415,512/x
  3. Step 3: Cross multiply
    72,175,584x = 168,415,512 × 168,415,512
  4. Step 4: Simplify right side
    72,175,584x = 28,363,784,682,222,144
  5. Step 5: Solve for x
    x = 28,363,784,682,222,144/72,175,584
  6. Step 6: Final answer
    x = 392,983,099.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.