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Finding the Third Proportional to 51,389,125,465.50 and 78,560,728,813.50

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Solution

The third proportional to 51,389,125,465.50 and 78,560,728,813.50 is: 120,099,107,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,389,125,465.50 : 78,560,728,813.50 = 78,560,728,813.50 : x
  2. Step 2: Convert to fraction form
    51,389,125,465.50/78,560,728,813.50 = 78,560,728,813.50/x
  3. Step 3: Cross multiply
    51,389,125,465.50x = 78,560,728,813.50 × 78,560,728,813.50
  4. Step 4: Simplify right side
    51,389,125,465.50x = 6,171,788,111,708,288,974,848
  5. Step 5: Solve for x
    x = 6,171,788,111,708,288,974,848/51,389,125,465.50
  6. Step 6: Final answer
    x = 120,099,107,657.55

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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.