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Finding the Third Proportional to 7,228,899 and 15,203,288.25

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Solution

The third proportional to 7,228,899 and 15,203,288.25 is: 31,974,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228,899 : 15,203,288.25 = 15,203,288.25 : x
  2. Step 2: Convert to fraction form
    7,228,899/15,203,288.25 = 15,203,288.25/x
  3. Step 3: Cross multiply
    7,228,899x = 15,203,288.25 × 15,203,288.25
  4. Step 4: Simplify right side
    7,228,899x = 231,139,973,612,588.06
  5. Step 5: Solve for x
    x = 231,139,973,612,588.06/7,228,899
  6. Step 6: Final answer
    x = 31,974,436.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.