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Finding the Third Proportional to 7,839,778.50 and 16,880,706

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Solution

The third proportional to 7,839,778.50 and 16,880,706 is: 36,347,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839,778.50 : 16,880,706 = 16,880,706 : x
  2. Step 2: Convert to fraction form
    7,839,778.50/16,880,706 = 16,880,706/x
  3. Step 3: Cross multiply
    7,839,778.50x = 16,880,706 × 16,880,706
  4. Step 4: Simplify right side
    7,839,778.50x = 284,958,235,058,436
  5. Step 5: Solve for x
    x = 284,958,235,058,436/7,839,778.50
  6. Step 6: Final answer
    x = 36,347,740.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.