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Finding the Third Proportional to 51,961,234 and 72,645,013

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Solution

The third proportional to 51,961,234 and 72,645,013 is: 101,562,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,961,234 : 72,645,013 = 72,645,013 : x
  2. Step 2: Convert to fraction form
    51,961,234/72,645,013 = 72,645,013/x
  3. Step 3: Cross multiply
    51,961,234x = 72,645,013 × 72,645,013
  4. Step 4: Simplify right side
    51,961,234x = 5,277,297,913,770,169
  5. Step 5: Solve for x
    x = 5,277,297,913,770,169/51,961,234
  6. Step 6: Final answer
    x = 101,562,212.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.