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Finding the Third Proportional to 51,817,499,967 and 79,611,861,729

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Solution

The third proportional to 51,817,499,967 and 79,611,861,729 is: 122,314,826,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,817,499,967 : 79,611,861,729 = 79,611,861,729 : x
  2. Step 2: Convert to fraction form
    51,817,499,967/79,611,861,729 = 79,611,861,729/x
  3. Step 3: Cross multiply
    51,817,499,967x = 79,611,861,729 × 79,611,861,729
  4. Step 4: Simplify right side
    51,817,499,967x = 6,338,048,527,957,415,165,952
  5. Step 5: Solve for x
    x = 6,338,048,527,957,415,165,952/51,817,499,967
  6. Step 6: Final answer
    x = 122,314,826,689.71

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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.