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Finding the Third Proportional to 51,128,210 and 71,915,241

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Solution

The third proportional to 51,128,210 and 71,915,241 is: 101,153,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,128,210 : 71,915,241 = 71,915,241 : x
  2. Step 2: Convert to fraction form
    51,128,210/71,915,241 = 71,915,241/x
  3. Step 3: Cross multiply
    51,128,210x = 71,915,241 × 71,915,241
  4. Step 4: Simplify right side
    51,128,210x = 5,171,801,888,088,081
  5. Step 5: Solve for x
    x = 5,171,801,888,088,081/51,128,210
  6. Step 6: Final answer
    x = 101,153,587.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.