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Finding the Third Proportional to 8,278,244,770.50 and 12,414,326,727.38

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Solution

The third proportional to 8,278,244,770.50 and 12,414,326,727.38 is: 18,616,930,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278,244,770.50 : 12,414,326,727.38 = 12,414,326,727.38 : x
  2. Step 2: Convert to fraction form
    8,278,244,770.50/12,414,326,727.38 = 12,414,326,727.38/x
  3. Step 3: Cross multiply
    8,278,244,770.50x = 12,414,326,727.38 × 12,414,326,727.38
  4. Step 4: Simplify right side
    8,278,244,770.50x = 154,115,508,094,017,273,856
  5. Step 5: Solve for x
    x = 154,115,508,094,017,273,856/8,278,244,770.50
  6. Step 6: Final answer
    x = 18,616,930,565.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.