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Finding the Third Proportional to 6,766,503.75 and 13,891,720.22

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Solution

The third proportional to 6,766,503.75 and 13,891,720.22 is: 28,519,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,503.75 : 13,891,720.22 = 13,891,720.22 : x
  2. Step 2: Convert to fraction form
    6,766,503.75/13,891,720.22 = 13,891,720.22/x
  3. Step 3: Cross multiply
    6,766,503.75x = 13,891,720.22 × 13,891,720.22
  4. Step 4: Simplify right side
    6,766,503.75x = 192,979,890,636,027.56
  5. Step 5: Solve for x
    x = 192,979,890,636,027.56/6,766,503.75
  6. Step 6: Final answer
    x = 28,519,882.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.