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Finding the Third Proportional to 9,459,692.50 and 20,686,025

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Solution

The third proportional to 9,459,692.50 and 20,686,025 is: 45,235,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459,692.50 : 20,686,025 = 20,686,025 : x
  2. Step 2: Convert to fraction form
    9,459,692.50/20,686,025 = 20,686,025/x
  3. Step 3: Cross multiply
    9,459,692.50x = 20,686,025 × 20,686,025
  4. Step 4: Simplify right side
    9,459,692.50x = 427,911,630,300,625
  5. Step 5: Solve for x
    x = 427,911,630,300,625/9,459,692.50
  6. Step 6: Final answer
    x = 45,235,257.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.