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Finding the Third Proportional to 5,638,417.50 and 8,589,811.50

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Solution

The third proportional to 5,638,417.50 and 8,589,811.50 is: 13,086,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638,417.50 : 8,589,811.50 = 8,589,811.50 : x
  2. Step 2: Convert to fraction form
    5,638,417.50/8,589,811.50 = 8,589,811.50/x
  3. Step 3: Cross multiply
    5,638,417.50x = 8,589,811.50 × 8,589,811.50
  4. Step 4: Simplify right side
    5,638,417.50x = 73,784,861,605,532.25
  5. Step 5: Solve for x
    x = 73,784,861,605,532.25/5,638,417.50
  6. Step 6: Final answer
    x = 13,086,094.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.