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Finding the Third Proportional to 6,582,749.63 and 8,734,606.31

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Solution

The third proportional to 6,582,749.63 and 8,734,606.31 is: 11,589,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582,749.63 : 8,734,606.31 = 8,734,606.31 : x
  2. Step 2: Convert to fraction form
    6,582,749.63/8,734,606.31 = 8,734,606.31/x
  3. Step 3: Cross multiply
    6,582,749.63x = 8,734,606.31 × 8,734,606.31
  4. Step 4: Simplify right side
    6,582,749.63x = 76,293,347,434,364.84
  5. Step 5: Solve for x
    x = 76,293,347,434,364.84/6,582,749.63
  6. Step 6: Final answer
    x = 11,589,890.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.