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Finding the Third Proportional to 14,685,887.25 and 31,984,692.75

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Solution

The third proportional to 14,685,887.25 and 31,984,692.75 is: 69,660,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685,887.25 : 31,984,692.75 = 31,984,692.75 : x
  2. Step 2: Convert to fraction form
    14,685,887.25/31,984,692.75 = 31,984,692.75/x
  3. Step 3: Cross multiply
    14,685,887.25x = 31,984,692.75 × 31,984,692.75
  4. Step 4: Simplify right side
    14,685,887.25x = 1,023,020,570,311,902.50
  5. Step 5: Solve for x
    x = 1,023,020,570,311,902.50/14,685,887.25
  6. Step 6: Final answer
    x = 69,660,113.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.