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Finding the Third Proportional to 5,415,640.88 and 8,412,692.06

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Solution

The third proportional to 5,415,640.88 and 8,412,692.06 is: 13,068,331.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415,640.88 : 8,412,692.06 = 8,412,692.06 : x
  2. Step 2: Convert to fraction form
    5,415,640.88/8,412,692.06 = 8,412,692.06/x
  3. Step 3: Cross multiply
    5,415,640.88x = 8,412,692.06 × 8,412,692.06
  4. Step 4: Simplify right side
    5,415,640.88x = 70,773,387,738,450.50
  5. Step 5: Solve for x
    x = 70,773,387,738,450.50/5,415,640.88
  6. Step 6: Final answer
    x = 13,068,331.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.