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Finding the Third Proportional to 9,738,096 and 15,196,710

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Solution

The third proportional to 9,738,096 and 15,196,710 is: 23,715,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738,096 : 15,196,710 = 15,196,710 : x
  2. Step 2: Convert to fraction form
    9,738,096/15,196,710 = 15,196,710/x
  3. Step 3: Cross multiply
    9,738,096x = 15,196,710 × 15,196,710
  4. Step 4: Simplify right side
    9,738,096x = 230,939,994,824,100
  5. Step 5: Solve for x
    x = 230,939,994,824,100/9,738,096
  6. Step 6: Final answer
    x = 23,715,107.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.