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Finding the Third Proportional to 6,345,744 and 9,532,683

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Solution

The third proportional to 6,345,744 and 9,532,683 is: 14,320,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345,744 : 9,532,683 = 9,532,683 : x
  2. Step 2: Convert to fraction form
    6,345,744/9,532,683 = 9,532,683/x
  3. Step 3: Cross multiply
    6,345,744x = 9,532,683 × 9,532,683
  4. Step 4: Simplify right side
    6,345,744x = 90,872,045,178,489
  5. Step 5: Solve for x
    x = 90,872,045,178,489/6,345,744
  6. Step 6: Final answer
    x = 14,320,156.18

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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.