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Finding the Third Proportional to 51,817,499,961 and 79,611,861,718.50

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Solution

The third proportional to 51,817,499,961 and 79,611,861,718.50 is: 122,314,826,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,817,499,961 : 79,611,861,718.50 = 79,611,861,718.50 : x
  2. Step 2: Convert to fraction form
    51,817,499,961/79,611,861,718.50 = 79,611,861,718.50/x
  3. Step 3: Cross multiply
    51,817,499,961x = 79,611,861,718.50 × 79,611,861,718.50
  4. Step 4: Simplify right side
    51,817,499,961x = 6,338,048,526,285,565,591,552
  5. Step 5: Solve for x
    x = 6,338,048,526,285,565,591,552/51,817,499,961
  6. Step 6: Final answer
    x = 122,314,826,671.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.