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Finding the Third Proportional to 51,817,500,234 and 79,611,862,167

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Solution

The third proportional to 51,817,500,234 and 79,611,862,167 is: 122,314,827,405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,817,500,234 : 79,611,862,167 = 79,611,862,167 : x
  2. Step 2: Convert to fraction form
    51,817,500,234/79,611,862,167 = 79,611,862,167/x
  3. Step 3: Cross multiply
    51,817,500,234x = 79,611,862,167 × 79,611,862,167
  4. Step 4: Simplify right side
    51,817,500,234x = 6,338,048,597,697,405,911,040
  5. Step 5: Solve for x
    x = 6,338,048,597,697,405,911,040/51,817,500,234
  6. Step 6: Final answer
    x = 122,314,827,405.33

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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.