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Finding the Third Proportional to 30,833,611 and 68,561,130

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Solution

The third proportional to 30,833,611 and 68,561,130 is: 152,451,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833,611 : 68,561,130 = 68,561,130 : x
  2. Step 2: Convert to fraction form
    30,833,611/68,561,130 = 68,561,130/x
  3. Step 3: Cross multiply
    30,833,611x = 68,561,130 × 68,561,130
  4. Step 4: Simplify right side
    30,833,611x = 4,700,628,546,876,900
  5. Step 5: Solve for x
    x = 4,700,628,546,876,900/30,833,611
  6. Step 6: Final answer
    x = 152,451,444.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.