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Finding the Third Proportional to 8,967,314 and 14,275,704

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Solution

The third proportional to 8,967,314 and 14,275,704 is: 22,726,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967,314 : 14,275,704 = 14,275,704 : x
  2. Step 2: Convert to fraction form
    8,967,314/14,275,704 = 14,275,704/x
  3. Step 3: Cross multiply
    8,967,314x = 14,275,704 × 14,275,704
  4. Step 4: Simplify right side
    8,967,314x = 203,795,724,695,616
  5. Step 5: Solve for x
    x = 203,795,724,695,616/8,967,314
  6. Step 6: Final answer
    x = 22,726,507.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.