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Finding the Third Proportional to 6,436,096 and 9,542,768

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Solution

The third proportional to 6,436,096 and 9,542,768 is: 14,149,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436,096 : 9,542,768 = 9,542,768 : x
  2. Step 2: Convert to fraction form
    6,436,096/9,542,768 = 9,542,768/x
  3. Step 3: Cross multiply
    6,436,096x = 9,542,768 × 9,542,768
  4. Step 4: Simplify right side
    6,436,096x = 91,064,421,101,824
  5. Step 5: Solve for x
    x = 91,064,421,101,824/6,436,096
  6. Step 6: Final answer
    x = 14,149,015.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.