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Finding the Third Proportional to 8,502,812,166 and 11,968,615,525.50

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Solution

The third proportional to 8,502,812,166 and 11,968,615,525.50 is: 16,847,103,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502,812,166 : 11,968,615,525.50 = 11,968,615,525.50 : x
  2. Step 2: Convert to fraction form
    8,502,812,166/11,968,615,525.50 = 11,968,615,525.50/x
  3. Step 3: Cross multiply
    8,502,812,166x = 11,968,615,525.50 × 11,968,615,525.50
  4. Step 4: Simplify right side
    8,502,812,166x = 143,247,757,597,239,640,064
  5. Step 5: Solve for x
    x = 143,247,757,597,239,640,064/8,502,812,166
  6. Step 6: Final answer
    x = 16,847,103,617.09

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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.