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Finding the Third Proportional to 36,403,608 and 77,846,064

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Solution

The third proportional to 36,403,608 and 77,846,064 is: 166,467,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,403,608 : 77,846,064 = 77,846,064 : x
  2. Step 2: Convert to fraction form
    36,403,608/77,846,064 = 77,846,064/x
  3. Step 3: Cross multiply
    36,403,608x = 77,846,064 × 77,846,064
  4. Step 4: Simplify right side
    36,403,608x = 6,060,009,680,292,096
  5. Step 5: Solve for x
    x = 6,060,009,680,292,096/36,403,608
  6. Step 6: Final answer
    x = 166,467,282.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.