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Finding the Third Proportional to 8,582,677.50 and 12,028,600.50

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Solution

The third proportional to 8,582,677.50 and 12,028,600.50 is: 16,858,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582,677.50 : 12,028,600.50 = 12,028,600.50 : x
  2. Step 2: Convert to fraction form
    8,582,677.50/12,028,600.50 = 12,028,600.50/x
  3. Step 3: Cross multiply
    8,582,677.50x = 12,028,600.50 × 12,028,600.50
  4. Step 4: Simplify right side
    8,582,677.50x = 144,687,229,988,600.25
  5. Step 5: Solve for x
    x = 144,687,229,988,600.25/8,582,677.50
  6. Step 6: Final answer
    x = 16,858,052.75

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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.