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Finding the Third Proportional to 7,278,096 and 11,415,783

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Solution

The third proportional to 7,278,096 and 11,415,783 is: 17,905,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278,096 : 11,415,783 = 11,415,783 : x
  2. Step 2: Convert to fraction form
    7,278,096/11,415,783 = 11,415,783/x
  3. Step 3: Cross multiply
    7,278,096x = 11,415,783 × 11,415,783
  4. Step 4: Simplify right side
    7,278,096x = 130,320,101,503,089
  5. Step 5: Solve for x
    x = 130,320,101,503,089/7,278,096
  6. Step 6: Final answer
    x = 17,905,795.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.