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Finding the Third Proportional to 5,729,280.50 and 8,285,539.50

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Solution

The third proportional to 5,729,280.50 and 8,285,539.50 is: 11,982,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729,280.50 : 8,285,539.50 = 8,285,539.50 : x
  2. Step 2: Convert to fraction form
    5,729,280.50/8,285,539.50 = 8,285,539.50/x
  3. Step 3: Cross multiply
    5,729,280.50x = 8,285,539.50 × 8,285,539.50
  4. Step 4: Simplify right side
    5,729,280.50x = 68,650,164,806,060.25
  5. Step 5: Solve for x
    x = 68,650,164,806,060.25/5,729,280.50
  6. Step 6: Final answer
    x = 11,982,336.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.