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Finding the Third Proportional to 8,648,903,142 and 18,883,153,728

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Solution

The third proportional to 8,648,903,142 and 18,883,153,728 is: 41,227,597,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648,903,142 : 18,883,153,728 = 18,883,153,728 : x
  2. Step 2: Convert to fraction form
    8,648,903,142/18,883,153,728 = 18,883,153,728/x
  3. Step 3: Cross multiply
    8,648,903,142x = 18,883,153,728 × 18,883,153,728
  4. Step 4: Simplify right side
    8,648,903,142x = 356,573,494,715,280,326,656
  5. Step 5: Solve for x
    x = 356,573,494,715,280,326,656/8,648,903,142
  6. Step 6: Final answer
    x = 41,227,597,171.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.