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Finding the Third Proportional to 5,505,856,188 and 8,416,780,920

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Solution

The third proportional to 5,505,856,188 and 8,416,780,920 is: 12,866,700,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505,856,188 : 8,416,780,920 = 8,416,780,920 : x
  2. Step 2: Convert to fraction form
    5,505,856,188/8,416,780,920 = 8,416,780,920/x
  3. Step 3: Cross multiply
    5,505,856,188x = 8,416,780,920 × 8,416,780,920
  4. Step 4: Simplify right side
    5,505,856,188x = 70,842,201,055,276,048,384
  5. Step 5: Solve for x
    x = 70,842,201,055,276,048,384/5,505,856,188
  6. Step 6: Final answer
    x = 12,866,700,225.42

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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.