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Finding the Third Proportional to 7,228,905 and 15,203,301

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Solution

The third proportional to 7,228,905 and 15,203,301 is: 31,974,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228,905 : 15,203,301 = 15,203,301 : x
  2. Step 2: Convert to fraction form
    7,228,905/15,203,301 = 15,203,301/x
  3. Step 3: Cross multiply
    7,228,905x = 15,203,301 × 15,203,301
  4. Step 4: Simplify right side
    7,228,905x = 231,140,361,296,601
  5. Step 5: Solve for x
    x = 231,140,361,296,601/7,228,905
  6. Step 6: Final answer
    x = 31,974,463.81

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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.