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Finding the Third Proportional to 7,464,528 and 11,194,848

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Solution

The third proportional to 7,464,528 and 11,194,848 is: 16,789,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464,528 : 11,194,848 = 11,194,848 : x
  2. Step 2: Convert to fraction form
    7,464,528/11,194,848 = 11,194,848/x
  3. Step 3: Cross multiply
    7,464,528x = 11,194,848 × 11,194,848
  4. Step 4: Simplify right side
    7,464,528x = 125,324,621,743,104
  5. Step 5: Solve for x
    x = 125,324,621,743,104/7,464,528
  6. Step 6: Final answer
    x = 16,789,356.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.