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Finding the Third Proportional to 14,099,861,576 and 21,093,889,020

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Solution

The third proportional to 14,099,861,576 and 21,093,889,020 is: 31,557,200,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099,861,576 : 21,093,889,020 = 21,093,889,020 : x
  2. Step 2: Convert to fraction form
    14,099,861,576/21,093,889,020 = 21,093,889,020/x
  3. Step 3: Cross multiply
    14,099,861,576x = 21,093,889,020 × 21,093,889,020
  4. Step 4: Simplify right side
    14,099,861,576x = 444,952,153,988,076,535,808
  5. Step 5: Solve for x
    x = 444,952,153,988,076,535,808/14,099,861,576
  6. Step 6: Final answer
    x = 31,557,200,160.42

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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.