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Finding the Third Proportional to 5,505,856,322 and 8,416,781,212

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Solution

The third proportional to 5,505,856,322 and 8,416,781,212 is: 12,866,700,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505,856,322 : 8,416,781,212 = 8,416,781,212 : x
  2. Step 2: Convert to fraction form
    5,505,856,322/8,416,781,212 = 8,416,781,212/x
  3. Step 3: Cross multiply
    5,505,856,322x = 8,416,781,212 × 8,416,781,212
  4. Step 4: Simplify right side
    5,505,856,322x = 70,842,205,970,676,187,136
  5. Step 5: Solve for x
    x = 70,842,205,970,676,187,136/5,505,856,322
  6. Step 6: Final answer
    x = 12,866,700,805.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.