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Finding the Third Proportional to 807,093,255 and 1,678,600,768.50

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Solution

The third proportional to 807,093,255 and 1,678,600,768.50 is: 3,491,170,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,093,255 : 1,678,600,768.50 = 1,678,600,768.50 : x
  2. Step 2: Convert to fraction form
    807,093,255/1,678,600,768.50 = 1,678,600,768.50/x
  3. Step 3: Cross multiply
    807,093,255x = 1,678,600,768.50 × 1,678,600,768.50
  4. Step 4: Simplify right side
    807,093,255x = 2,817,700,540,008,790,528
  5. Step 5: Solve for x
    x = 2,817,700,540,008,790,528/807,093,255
  6. Step 6: Final answer
    x = 3,491,170,967.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.