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Finding the Third Proportional to 3,940,667,688 and 8,567,230,416

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Solution

The third proportional to 3,940,667,688 and 8,567,230,416 is: 18,625,634,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,667,688 : 8,567,230,416 = 8,567,230,416 : x
  2. Step 2: Convert to fraction form
    3,940,667,688/8,567,230,416 = 8,567,230,416/x
  3. Step 3: Cross multiply
    3,940,667,688x = 8,567,230,416 × 8,567,230,416
  4. Step 4: Simplify right side
    3,940,667,688x = 73,397,437,000,835,530,752
  5. Step 5: Solve for x
    x = 73,397,437,000,835,530,752/3,940,667,688
  6. Step 6: Final answer
    x = 18,625,634,743.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.