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Finding the Third Proportional to 6,180,867 and 9,092,619

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Solution

The third proportional to 6,180,867 and 9,092,619 is: 13,376,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180,867 : 9,092,619 = 9,092,619 : x
  2. Step 2: Convert to fraction form
    6,180,867/9,092,619 = 9,092,619/x
  3. Step 3: Cross multiply
    6,180,867x = 9,092,619 × 9,092,619
  4. Step 4: Simplify right side
    6,180,867x = 82,675,720,279,161
  5. Step 5: Solve for x
    x = 82,675,720,279,161/6,180,867
  6. Step 6: Final answer
    x = 13,376,071.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.