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Finding the Third Proportional to 10,382,692.50 and 22,633,630.50

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Solution

The third proportional to 10,382,692.50 and 22,633,630.50 is: 49,339,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382,692.50 : 22,633,630.50 = 22,633,630.50 : x
  2. Step 2: Convert to fraction form
    10,382,692.50/22,633,630.50 = 22,633,630.50/x
  3. Step 3: Cross multiply
    10,382,692.50x = 22,633,630.50 × 22,633,630.50
  4. Step 4: Simplify right side
    10,382,692.50x = 512,281,229,610,530.25
  5. Step 5: Solve for x
    x = 512,281,229,610,530.25/10,382,692.50
  6. Step 6: Final answer
    x = 49,339,921.18

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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.