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Finding the Third Proportional to 5,529,082.50 and 8,654,512.50

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Solution

The third proportional to 5,529,082.50 and 8,654,512.50 is: 13,546,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,529,082.50 : 8,654,512.50 = 8,654,512.50 : x
  2. Step 2: Convert to fraction form
    5,529,082.50/8,654,512.50 = 8,654,512.50/x
  3. Step 3: Cross multiply
    5,529,082.50x = 8,654,512.50 × 8,654,512.50
  4. Step 4: Simplify right side
    5,529,082.50x = 74,900,586,612,656.25
  5. Step 5: Solve for x
    x = 74,900,586,612,656.25/5,529,082.50
  6. Step 6: Final answer
    x = 13,546,657.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.