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Finding the Third Proportional to 21,532,832.50 and 47,250,751.25

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Solution

The third proportional to 21,532,832.50 and 47,250,751.25 is: 103,685,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532,832.50 : 47,250,751.25 = 47,250,751.25 : x
  2. Step 2: Convert to fraction form
    21,532,832.50/47,250,751.25 = 47,250,751.25/x
  3. Step 3: Cross multiply
    21,532,832.50x = 47,250,751.25 × 47,250,751.25
  4. Step 4: Simplify right side
    21,532,832.50x = 2,232,633,493,689,376.50
  5. Step 5: Solve for x
    x = 2,232,633,493,689,376.50/21,532,832.50
  6. Step 6: Final answer
    x = 103,685,081.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.