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Finding the Third Proportional to 8,227,570 and 17,719,489

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Solution

The third proportional to 8,227,570 and 17,719,489 is: 38,161,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227,570 : 17,719,489 = 17,719,489 : x
  2. Step 2: Convert to fraction form
    8,227,570/17,719,489 = 17,719,489/x
  3. Step 3: Cross multiply
    8,227,570x = 17,719,489 × 17,719,489
  4. Step 4: Simplify right side
    8,227,570x = 313,980,290,421,121
  5. Step 5: Solve for x
    x = 313,980,290,421,121/8,227,570
  6. Step 6: Final answer
    x = 38,161,971.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.