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Finding the Third Proportional to 77,740,722 and 166,792,608

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Solution

The third proportional to 77,740,722 and 166,792,608 is: 357,853,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,740,722 : 166,792,608 = 166,792,608 : x
  2. Step 2: Convert to fraction form
    77,740,722/166,792,608 = 166,792,608/x
  3. Step 3: Cross multiply
    77,740,722x = 166,792,608 × 166,792,608
  4. Step 4: Simplify right side
    77,740,722x = 27,819,774,083,441,664
  5. Step 5: Solve for x
    x = 27,819,774,083,441,664/77,740,722
  6. Step 6: Final answer
    x = 357,853,302.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.