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Finding the Third Proportional to 3,462,057 and 8,014,713.75

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Solution

The third proportional to 3,462,057 and 8,014,713.75 is: 18,554,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462,057 : 8,014,713.75 = 8,014,713.75 : x
  2. Step 2: Convert to fraction form
    3,462,057/8,014,713.75 = 8,014,713.75/x
  3. Step 3: Cross multiply
    3,462,057x = 8,014,713.75 × 8,014,713.75
  4. Step 4: Simplify right side
    3,462,057x = 64,235,636,494,439.06
  5. Step 5: Solve for x
    x = 64,235,636,494,439.06/3,462,057
  6. Step 6: Final answer
    x = 18,554,182.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.