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Finding the Third Proportional to 3,842,278 and 8,229,199

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Solution

The third proportional to 3,842,278 and 8,229,199 is: 17,624,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842,278 : 8,229,199 = 8,229,199 : x
  2. Step 2: Convert to fraction form
    3,842,278/8,229,199 = 8,229,199/x
  3. Step 3: Cross multiply
    3,842,278x = 8,229,199 × 8,229,199
  4. Step 4: Simplify right side
    3,842,278x = 67,719,716,181,601
  5. Step 5: Solve for x
    x = 67,719,716,181,601/3,842,278
  6. Step 6: Final answer
    x = 17,624,887.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.