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Finding the Third Proportional to 8,494,903,098 and 11,811,483,746

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Solution

The third proportional to 8,494,903,098 and 11,811,483,746 is: 16,422,924,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494,903,098 : 11,811,483,746 = 11,811,483,746 : x
  2. Step 2: Convert to fraction form
    8,494,903,098/11,811,483,746 = 11,811,483,746/x
  3. Step 3: Cross multiply
    8,494,903,098x = 11,811,483,746 × 11,811,483,746
  4. Step 4: Simplify right side
    8,494,903,098x = 139,511,148,282,022,199,296
  5. Step 5: Solve for x
    x = 139,511,148,282,022,199,296/8,494,903,098
  6. Step 6: Final answer
    x = 16,422,924,037.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.