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Finding the Third Proportional to 17,724,762 and 38,474,571

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Solution

The third proportional to 17,724,762 and 38,474,571 is: 83,515,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724,762 : 38,474,571 = 38,474,571 : x
  2. Step 2: Convert to fraction form
    17,724,762/38,474,571 = 38,474,571/x
  3. Step 3: Cross multiply
    17,724,762x = 38,474,571 × 38,474,571
  4. Step 4: Simplify right side
    17,724,762x = 1,480,292,613,634,041
  5. Step 5: Solve for x
    x = 1,480,292,613,634,041/17,724,762
  6. Step 6: Final answer
    x = 83,515,514.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.