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Finding the Third Proportional to 7,589,862 and 16,391,571

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Solution

The third proportional to 7,589,862 and 16,391,571 is: 35,400,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,862 : 16,391,571 = 16,391,571 : x
  2. Step 2: Convert to fraction form
    7,589,862/16,391,571 = 16,391,571/x
  3. Step 3: Cross multiply
    7,589,862x = 16,391,571 × 16,391,571
  4. Step 4: Simplify right side
    7,589,862x = 268,683,599,848,041
  5. Step 5: Solve for x
    x = 268,683,599,848,041/7,589,862
  6. Step 6: Final answer
    x = 35,400,327.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.