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Finding the Third Proportional to 17,022,720 and 25,473,767.50

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Solution

The third proportional to 17,022,720 and 25,473,767.50 is: 38,120,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022,720 : 25,473,767.50 = 25,473,767.50 : x
  2. Step 2: Convert to fraction form
    17,022,720/25,473,767.50 = 25,473,767.50/x
  3. Step 3: Cross multiply
    17,022,720x = 25,473,767.50 × 25,473,767.50
  4. Step 4: Simplify right side
    17,022,720x = 648,912,830,644,056.25
  5. Step 5: Solve for x
    x = 648,912,830,644,056.25/17,022,720
  6. Step 6: Final answer
    x = 38,120,396.19

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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.