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Finding the Third Proportional to 5,482,755 and 11,880,769.50

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Solution

The third proportional to 5,482,755 and 11,880,769.50 is: 25,744,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482,755 : 11,880,769.50 = 11,880,769.50 : x
  2. Step 2: Convert to fraction form
    5,482,755/11,880,769.50 = 11,880,769.50/x
  3. Step 3: Cross multiply
    5,482,755x = 11,880,769.50 × 11,880,769.50
  4. Step 4: Simplify right side
    5,482,755x = 141,152,683,912,130.25
  5. Step 5: Solve for x
    x = 141,152,683,912,130.25/5,482,755
  6. Step 6: Final answer
    x = 25,744,846.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.