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Finding the Third Proportional to 8,502,812,169 and 11,968,615,530

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Solution

The third proportional to 8,502,812,169 and 11,968,615,530 is: 16,847,103,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502,812,169 : 11,968,615,530 = 11,968,615,530 : x
  2. Step 2: Convert to fraction form
    8,502,812,169/11,968,615,530 = 11,968,615,530/x
  3. Step 3: Cross multiply
    8,502,812,169x = 11,968,615,530 × 11,968,615,530
  4. Step 4: Simplify right side
    8,502,812,169x = 143,247,757,704,957,181,952
  5. Step 5: Solve for x
    x = 143,247,757,704,957,181,952/8,502,812,169
  6. Step 6: Final answer
    x = 16,847,103,623.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.