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Finding the Third Proportional to 2,411,304.75 and 5,201,199

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Solution

The third proportional to 2,411,304.75 and 5,201,199 is: 11,219,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,304.75 : 5,201,199 = 5,201,199 : x
  2. Step 2: Convert to fraction form
    2,411,304.75/5,201,199 = 5,201,199/x
  3. Step 3: Cross multiply
    2,411,304.75x = 5,201,199 × 5,201,199
  4. Step 4: Simplify right side
    2,411,304.75x = 27,052,471,037,601
  5. Step 5: Solve for x
    x = 27,052,471,037,601/2,411,304.75
  6. Step 6: Final answer
    x = 11,219,017.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.