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Finding the Third Proportional to 14,277,975 and 21,751,573.50

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Solution

The third proportional to 14,277,975 and 21,751,573.50 is: 33,137,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277,975 : 21,751,573.50 = 21,751,573.50 : x
  2. Step 2: Convert to fraction form
    14,277,975/21,751,573.50 = 21,751,573.50/x
  3. Step 3: Cross multiply
    14,277,975x = 21,751,573.50 × 21,751,573.50
  4. Step 4: Simplify right side
    14,277,975x = 473,130,949,725,902.25
  5. Step 5: Solve for x
    x = 473,130,949,725,902.25/14,277,975
  6. Step 6: Final answer
    x = 33,137,118.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.