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Finding the Third Proportional to 14,099,861,571 and 21,093,889,014.50

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Solution

The third proportional to 14,099,861,571 and 21,093,889,014.50 is: 31,557,200,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099,861,571 : 21,093,889,014.50 = 21,093,889,014.50 : x
  2. Step 2: Convert to fraction form
    14,099,861,571/21,093,889,014.50 = 21,093,889,014.50/x
  3. Step 3: Cross multiply
    14,099,861,571x = 21,093,889,014.50 × 21,093,889,014.50
  4. Step 4: Simplify right side
    14,099,861,571x = 444,952,153,756,043,771,904
  5. Step 5: Solve for x
    x = 444,952,153,756,043,771,904/14,099,861,571
  6. Step 6: Final answer
    x = 31,557,200,155.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.