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Finding the Third Proportional to 61,700,836,906.50 and 125,136,560,925

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Solution

The third proportional to 61,700,836,906.50 and 125,136,560,925 is: 253,791,677,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,700,836,906.50 : 125,136,560,925 = 125,136,560,925 : x
  2. Step 2: Convert to fraction form
    61,700,836,906.50/125,136,560,925 = 125,136,560,925/x
  3. Step 3: Cross multiply
    61,700,836,906.50x = 125,136,560,925 × 125,136,560,925
  4. Step 4: Simplify right side
    61,700,836,906.50x = 15,659,158,880,136,235,843,584
  5. Step 5: Solve for x
    x = 15,659,158,880,136,235,843,584/61,700,836,906.50
  6. Step 6: Final answer
    x = 253,791,677,151.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.